
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 truncated cone-shaped vase, widening upwards, can be filled to the brim with 2.6 liters of water, and halfway up its height with 0.7 liters of water. How many times the radius of the base circle is the radius of the top circle?

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