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Finding the Fourth Proportional to 747,314,931.60, 1,120,972,397.40 and 747,314,931.60

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Solution

The fourth proportional to 747,314,931.60, 1,120,972,397.40 and 747,314,931.60 is: 1,120,972,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,314,931.60 : 1,120,972,397.40 = 747,314,931.60 : x
  2. Step 2: Convert to fraction form
    747,314,931.60/1,120,972,397.40 = 747,314,931.60/x
  3. Step 3: Cross multiply
    747,314,931.60x = 1,120,972,397.40 × 747,314,931.60
  4. Step 4: Simplify right side
    747,314,931.60x = 837,719,410,488,469,120
  5. Step 5: Solve for x
    x = 837,719,410,488,469,120/747,314,931.60
  6. Step 6: Final answer
    x = 1,120,972,397.40

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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.