
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 concentric circles have a common center \( O \). Point \( Y \) is on the line segment \( OP \) such that \( OY = \frac{2}{3} OP \), and point \( X \) is the midpoint of the segment \( OY \). What is the ratio of the area of the circle with radius \( OX \) to the area of the circle with radius \( OP \)?

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