
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 gigantic sphere has a volume of $972\pi$ cubic units. A miniature sphere carved from inside this gigantic sphere accounts for $64\%$ of its volume. Determine the ratio of the radius of the miniature sphere to the radius of the gigantic sphere. Express your ratio as a common fraction.

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