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Finding the Fourth Proportional to 497,664,499.70, 746,496,749.55 and 316,713,869.30

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Solution

The fourth proportional to 497,664,499.70, 746,496,749.55 and 316,713,869.30 is: 475,070,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,499.70 : 746,496,749.55 = 316,713,869.30 : x
  2. Step 2: Convert to fraction form
    497,664,499.70/746,496,749.55 = 316,713,869.30/x
  3. Step 3: Cross multiply
    497,664,499.70x = 746,496,749.55 × 316,713,869.30
  4. Step 4: Simplify right side
    497,664,499.70x = 236,425,873,969,853,536
  5. Step 5: Solve for x
    x = 236,425,873,969,853,536/497,664,499.70
  6. Step 6: Final answer
    x = 475,070,803.95

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