
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
We know that for an equilateral triangle, the centers of the inscribed circle and the circumscribed circle coincide, and the ratio of the radius of the circumscribed circle to the inscribed circle is 2:1. By analogy, if a tetrahedron has all its edges of equal length, then the centers of its circumscribed sphere and inscribed sphere coincide. What is the ratio of the radius of the circumscribed sphere to the inscribed sphere?

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