
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
Three bottles, each with a capacity of one liter, contain different quantities of the same liquid, as shown in the illustration. Which of the following options best expresses, approximately, the volume of liquid contained in bottles A, B, and C, in that order?
(a) $\frac{3}{7} ; \frac{4}{9} ; \frac{2}{5}$
(b) $\frac{2}{3} ; \frac{1}{2} ; \frac{1}{4}$
(c) $\frac{2}{3} ; \frac{4}{6} ; \frac{2}{4}$
(d) $\frac{2}{3} ; \frac{4}{7} ; \frac{3}{4}$
(e) $\frac{3}{3} ; \frac{4}{5} ; \frac{2}{3}$

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