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Finding the Fourth Proportional to 497,664,505.60, 746,496,758.40 and 497,664,505.60

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Solution

The fourth proportional to 497,664,505.60, 746,496,758.40 and 497,664,505.60 is: 746,496,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,505.60 : 746,496,758.40 = 497,664,505.60 : x
  2. Step 2: Convert to fraction form
    497,664,505.60/746,496,758.40 = 497,664,505.60/x
  3. Step 3: Cross multiply
    497,664,505.60x = 746,496,758.40 × 497,664,505.60
  4. Step 4: Simplify right side
    497,664,505.60x = 371,504,940,201,138,624
  5. Step 5: Solve for x
    x = 371,504,940,201,138,624/497,664,505.60
  6. Step 6: Final answer
    x = 746,496,758.40

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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.