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Finding the Fourth Proportional to 96,459,344.40, 144,856,978.20 and 51,109,712.40

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Solution

The fourth proportional to 96,459,344.40, 144,856,978.20 and 51,109,712.40 is: 76,753,564.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,459,344.40 : 144,856,978.20 = 51,109,712.40 : x
  2. Step 2: Convert to fraction form
    96,459,344.40/144,856,978.20 = 51,109,712.40/x
  3. Step 3: Cross multiply
    96,459,344.40x = 144,856,978.20 × 51,109,712.40
  4. Step 4: Simplify right side
    96,459,344.40x = 7,403,598,494,935,069
  5. Step 5: Solve for x
    x = 7,403,598,494,935,069/96,459,344.40
  6. Step 6: Final answer
    x = 76,753,564.32

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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.