
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 $20\%$ of the world's population and $40\%$ of the world's wealth, while country $Y$ has $10\%$ of the world's population and $30\%$ of its wealth. Country $X$ and $Y$ share their respective wealth equally among their citizens. Calculate the ratio of the wealth of a citizen of $X$ to the wealth of a citizen of $Y$.
A) $\frac{1}{2}$
B) $\frac{2}{3}$
C) $\frac{3}{4}$
D) $\frac{4}{5}$

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