
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
On the sides $BC, CA, AB$ of an equilateral triangle $ABC$ with a side length of 7, points $A_1, B_1, C_1$ are chosen respectively. It is known that $AC_1 = BA_1 = CB_1 = 3$. Find the ratio of the area of triangle $ABC$ to the area of the triangle formed by the lines $AA_1, BB_1, CC_1$.

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