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Finding the Fourth Proportional to 96,831,287.40, 145,414,892.70 and 51,481,655.40

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Solution

The fourth proportional to 96,831,287.40, 145,414,892.70 and 51,481,655.40 is: 77,311,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,831,287.40 : 145,414,892.70 = 51,481,655.40 : x
  2. Step 2: Convert to fraction form
    96,831,287.40/145,414,892.70 = 51,481,655.40/x
  3. Step 3: Cross multiply
    96,831,287.40x = 145,414,892.70 × 51,481,655.40
  4. Step 4: Simplify right side
    96,831,287.40x = 7,486,199,396,009,375
  5. Step 5: Solve for x
    x = 7,486,199,396,009,375/96,831,287.40
  6. Step 6: Final answer
    x = 77,311,782.14

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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.