
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
If an internal point of an $n$-sided prism is connected to all its vertices, $n$ quadrangular pyramids with a common vertex at this point will be formed, with their bases being the lateral faces of the prism. Find the ratio of the sum of the volumes of these pyramids to the volume of the given prism.

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