
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 plane intersects each side of the quadrilateral \(ABCD\) at an internal point. Following a traversing direction, we write down the ratio in which each intersection point divides its corresponding side. What will be the product of the four ratios?

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