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Finding the Fourth Proportional to 714,656,517.60, 1,069,717,294.80 and 714,656,517.60

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Solution

The fourth proportional to 714,656,517.60, 1,069,717,294.80 and 714,656,517.60 is: 1,069,717,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,656,517.60 : 1,069,717,294.80 = 714,656,517.60 : x
  2. Step 2: Convert to fraction form
    714,656,517.60/1,069,717,294.80 = 714,656,517.60/x
  3. Step 3: Cross multiply
    714,656,517.60x = 1,069,717,294.80 × 714,656,517.60
  4. Step 4: Simplify right side
    714,656,517.60x = 764,480,436,718,260,608
  5. Step 5: Solve for x
    x = 764,480,436,718,260,608/714,656,517.60
  6. Step 6: Final answer
    x = 1,069,717,294.80

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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.