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Finding the Fourth Proportional to 150,427,425.40, 225,641,138.10 and 150,427,425.40

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Solution

The fourth proportional to 150,427,425.40, 225,641,138.10 and 150,427,425.40 is: 225,641,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,427,425.40 : 225,641,138.10 = 150,427,425.40 : x
  2. Step 2: Convert to fraction form
    150,427,425.40/225,641,138.10 = 150,427,425.40/x
  3. Step 3: Cross multiply
    150,427,425.40x = 225,641,138.10 × 150,427,425.40
  4. Step 4: Simplify right side
    150,427,425.40x = 33,942,615,468,708,848
  5. Step 5: Solve for x
    x = 33,942,615,468,708,848/150,427,425.40
  6. Step 6: Final answer
    x = 225,641,138.10

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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.