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Finding the Fourth Proportional to 497,664,355.60, 746,496,533.40 and 465,813,859.60

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Solution

The fourth proportional to 497,664,355.60, 746,496,533.40 and 465,813,859.60 is: 698,720,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,355.60 : 746,496,533.40 = 465,813,859.60 : x
  2. Step 2: Convert to fraction form
    497,664,355.60/746,496,533.40 = 465,813,859.60/x
  3. Step 3: Cross multiply
    497,664,355.60x = 746,496,533.40 × 465,813,859.60
  4. Step 4: Simplify right side
    497,664,355.60x = 347,728,431,401,074,304
  5. Step 5: Solve for x
    x = 347,728,431,401,074,304/497,664,355.60
  6. Step 6: Final answer
    x = 698,720,789.40

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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.