
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
Three congruent equilateral triangular paddocks are enclosed using a fixed amount of fencing. This fence is then reused to form one larger equilateral triangular paddock. What is the ratio of the total area of the three small paddocks to the area of the new larger paddock?

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