
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
There are three piles of chess pieces, each with an equal number of pieces. The number of white pieces in the first pile is equal to the number of black pieces in the second pile. In the third pile, black pieces account for $\frac {5}{9}$. The proportion of white pieces in these three piles is _____.

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