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Finding the Fourth Proportional to 590,491,691.80, 885,737,537.70 and 587,090,469.40

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Solution

The fourth proportional to 590,491,691.80, 885,737,537.70 and 587,090,469.40 is: 880,635,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,491,691.80 : 885,737,537.70 = 587,090,469.40 : x
  2. Step 2: Convert to fraction form
    590,491,691.80/885,737,537.70 = 587,090,469.40/x
  3. Step 3: Cross multiply
    590,491,691.80x = 885,737,537.70 × 587,090,469.40
  4. Step 4: Simplify right side
    590,491,691.80x = 520,008,066,773,493,184
  5. Step 5: Solve for x
    x = 520,008,066,773,493,184/590,491,691.80
  6. Step 6: Final answer
    x = 880,635,704.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.