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Finding the Fourth Proportional to 499,486,502.45, 749,229,753.68 and 499,486,502.45

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Solution

The fourth proportional to 499,486,502.45, 749,229,753.68 and 499,486,502.45 is: 749,229,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,486,502.45 : 749,229,753.68 = 499,486,502.45 : x
  2. Step 2: Convert to fraction form
    499,486,502.45/749,229,753.68 = 499,486,502.45/x
  3. Step 3: Cross multiply
    499,486,502.45x = 749,229,753.68 × 499,486,502.45
  4. Step 4: Simplify right side
    499,486,502.45x = 374,230,149,194,600,768
  5. Step 5: Solve for x
    x = 374,230,149,194,600,768/499,486,502.45
  6. Step 6: Final answer
    x = 749,229,753.68

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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.