
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
Country $X$ has $40\%$ of the world's population and $60\%$ of the world's wealth. Country $Y$ has $20\%$ of the world's population but $30\%$ of its wealth. Country $X$'s top $50\%$ of the population owns $80\%$ of the wealth, and the wealth in Country $Y$ is equally shared among its citizens. Determine the ratio of the wealth of an average citizen in the top $50\%$ of Country $X$ to the wealth of an average citizen in Country $Y$.

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