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Finding the Fourth Proportional to 712,403,397.40, 1,068,605,096.10 and 712,403,397.40

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Solution

The fourth proportional to 712,403,397.40, 1,068,605,096.10 and 712,403,397.40 is: 1,068,605,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,403,397.40 : 1,068,605,096.10 = 712,403,397.40 : x
  2. Step 2: Convert to fraction form
    712,403,397.40/1,068,605,096.10 = 712,403,397.40/x
  3. Step 3: Cross multiply
    712,403,397.40x = 1,068,605,096.10 × 712,403,397.40
  4. Step 4: Simplify right side
    712,403,397.40x = 761,277,900,940,593,536
  5. Step 5: Solve for x
    x = 761,277,900,940,593,536/712,403,397.40
  6. Step 6: Final answer
    x = 1,068,605,096.10

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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.