
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A "super ball" is thrown into the air from the ground and reaches a height of 20 meters before falling back to the ground. On each bounce, it rises $\frac{3}{5}$ of the distance of the preceding height. Calculate the total distance traveled by the ball after it hits the ground for the fourth time, assuming it is caught at its highest point after the fourth bounce.

Present the answer in LaTex format: \boxed{Your answer}
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