
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 $a\%$ of the world's population and $b\%$ of the world's wealth, and Country Y has $b\%$ of the world's population and $a\%$ of its wealth, 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}
user