
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
Given that Country $X$ has $40\%$ of the world's population and $60\%$ of the world's wealth, and Country $Y$ has $20\%$ of the world's population and $30\%$ of its wealth, and a $10\%$ tax is imposed on the wealth of Country $X$ which is then redistributed equally among its citizens, find the ratio of the wealth of a citizen of $X$ to the wealth of a citizen of $Y$.

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