Fibonacci Retracement and Extension Ratios are derived from the Fibonacci sequence, a series of numbers where each number is the sum of the two preceding ones, starting from 0 and 1. The key ratios are derived from the relationships between these numbers.

The most common Fibonacci retracement ratios are:

1. 23.6% (1 – 1/1.618 or 0.618 / 2.618)
2. 38.2% (1 – 1/1.618² or 1 – 0.618²)
3. 50% (not a true Fibonacci ratio, but commonly used due to its significance in technical analysis)
4. 61.8% (1.618 – 1, or the Golden Ratio)
5. 78.6% (1 – 0.618³)

The most common Fibonacci extension ratios are:

1. 61.8% (1.618 – 1)
2. 100% (simply a full move, not a Fibonacci number but often used in conjunction with Fibonacci ratios)
3. 161.8% (1.618)
4. 261.8% (1 + 1.618)
5. 423.6% (1 + 1.618²)

These ratios are widely used by traders to predict potential support and resistance levels, as well as price targets, in financial markets. Remember, though, that no technical analysis tool is infallible, and the use of multiple tools is often recommended to improve the accuracy of your analysis.

Here is an expanded list of Fibonacci extension ratios. Please note that as we move further along the list, these ratios become less common and less widely used. However, they can still be helpful in certain market conditions or for individual trading strategies.

1. 61.8% (1.618 – 1)
2. 100% (simply a full move, not a Fibonacci number but often used)
3. 138.2% (1 + 1/1.618²)
4. 161.8% (1.618)
5. 200% (2 times the original move)
6. 261.8% (1 + 1.618)
7. 323.6% (1 + 1.618²)
8. 423.6% (1 + 1.618² + 1.618)
9. 523.6% (1 + 2*1.618²)
10. 685.4% (1 + 1.618³)
11. 847.2% (1 + 3*1.618²)
12. 947.2% (1 + 4*1.618²)
13. 1109.0% (1 + 1.618⁴)
14. 1270.8% (1 + 6*1.618²)
15. 1370.8% (1 + 7*1.618²)
16. 1532.6% (1 + 2*1.618³)
17. 1694.4% (1 + 9*1.618²)
18. 1794.4% (1 + 10*1.618²)
19. 1956.2% (1 + 1.618⁵)
20. 2118.0% (1 + 12*1.618²)

Remember that technical analysis is not foolproof, and using multiple tools and combining different indicators can help improve the accuracy of your analysis. Keep in mind that these higher ratios are less commonly used, and other traders may not be relying on them as much as the more common ratios.