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Finding the Fourth Proportional to 497,664,337.90, 746,496,506.85 and 433,963,345.90

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Solution

The fourth proportional to 497,664,337.90, 746,496,506.85 and 433,963,345.90 is: 650,945,018.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,337.90 : 746,496,506.85 = 433,963,345.90 : x
  2. Step 2: Convert to fraction form
    497,664,337.90/746,496,506.85 = 433,963,345.90/x
  3. Step 3: Cross multiply
    497,664,337.90x = 746,496,506.85 × 433,963,345.90
  4. Step 4: Simplify right side
    497,664,337.90x = 323,952,121,815,288,256
  5. Step 5: Solve for x
    x = 323,952,121,815,288,256/497,664,337.90
  6. Step 6: Final answer
    x = 650,945,018.85

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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.