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Finding the Fourth Proportional to 712,497,657.20, 1,068,746,485.80 and 712,497,657.20

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Solution

The fourth proportional to 712,497,657.20, 1,068,746,485.80 and 712,497,657.20 is: 1,068,746,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,497,657.20 : 1,068,746,485.80 = 712,497,657.20 : x
  2. Step 2: Convert to fraction form
    712,497,657.20/1,068,746,485.80 = 712,497,657.20/x
  3. Step 3: Cross multiply
    712,497,657.20x = 1,068,746,485.80 × 712,497,657.20
  4. Step 4: Simplify right side
    712,497,657.20x = 761,479,367,273,233,024
  5. Step 5: Solve for x
    x = 761,479,367,273,233,024/712,497,657.20
  6. Step 6: Final answer
    x = 1,068,746,485.80

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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.