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Finding the Fourth Proportional to 667,057,658.69, 920,002,814.31 and 586,417,229.24

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Solution

The fourth proportional to 667,057,658.69, 920,002,814.31 and 586,417,229.24 is: 808,783,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,057,658.69 : 920,002,814.31 = 586,417,229.24 : x
  2. Step 2: Convert to fraction form
    667,057,658.69/920,002,814.31 = 586,417,229.24/x
  3. Step 3: Cross multiply
    667,057,658.69x = 920,002,814.31 × 586,417,229.24
  4. Step 4: Simplify right side
    667,057,658.69x = 539,505,501,260,672,384
  5. Step 5: Solve for x
    x = 539,505,501,260,672,384/667,057,658.69
  6. Step 6: Final answer
    x = 808,783,909.81

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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.