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Finding the Fourth Proportional to 497,664,475.40, 746,496,713.10 and 437,198,299.40

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Solution

The fourth proportional to 497,664,475.40, 746,496,713.10 and 437,198,299.40 is: 655,797,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,475.40 : 746,496,713.10 = 437,198,299.40 : x
  2. Step 2: Convert to fraction form
    497,664,475.40/746,496,713.10 = 437,198,299.40/x
  3. Step 3: Cross multiply
    497,664,475.40x = 746,496,713.10 × 437,198,299.40
  4. Step 4: Simplify right side
    497,664,475.40x = 326,367,093,475,009,664
  5. Step 5: Solve for x
    x = 326,367,093,475,009,664/497,664,475.40
  6. Step 6: Final answer
    x = 655,797,449.10

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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.