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Finding the Fourth Proportional to 712,597,712.60, 1,068,896,568.90 and 712,597,712.60

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Solution

The fourth proportional to 712,597,712.60, 1,068,896,568.90 and 712,597,712.60 is: 1,068,896,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,597,712.60 : 1,068,896,568.90 = 712,597,712.60 : x
  2. Step 2: Convert to fraction form
    712,597,712.60/1,068,896,568.90 = 712,597,712.60/x
  3. Step 3: Cross multiply
    712,597,712.60x = 1,068,896,568.90 × 712,597,712.60
  4. Step 4: Simplify right side
    712,597,712.60x = 761,693,250,004,128,256
  5. Step 5: Solve for x
    x = 761,693,250,004,128,256/712,597,712.60
  6. Step 6: Final answer
    x = 1,068,896,568.90

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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.