Finding the Fourth Proportional to 597,463,766,088.96, 824,502,481,305.60 and 323,109,418,542.08
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Solution
The fourth proportional to 597,463,766,088.96, 824,502,481,305.60 and 323,109,418,542.08 is: 445,892,340,995.10
Step by Step Solution
- Step 1: Write the proportion equation
597,463,766,088.96 : 824,502,481,305.60 = 323,109,418,542.08 : x - Step 2: Convert to fraction form
597,463,766,088.96/824,502,481,305.60 = 323,109,418,542.08/x - Step 3: Cross multiply
597,463,766,088.96x = 824,502,481,305.60 × 323,109,418,542.08 - Step 4: Simplify right side
597,463,766,088.96x = 266,404,517,321,154,620,293,120 - Step 5: Solve for x
x = 266,404,517,321,154,620,293,120/597,463,766,088.96 - Step 6: Final answer
x = 445,892,340,995.10
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.