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Finding the Fourth Proportional to 150,757,301.40, 225,657,655.20 and 150,757,301.40

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Solution

The fourth proportional to 150,757,301.40, 225,657,655.20 and 150,757,301.40 is: 225,657,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,757,301.40 : 225,657,655.20 = 150,757,301.40 : x
  2. Step 2: Convert to fraction form
    150,757,301.40/225,657,655.20 = 150,757,301.40/x
  3. Step 3: Cross multiply
    150,757,301.40x = 225,657,655.20 × 150,757,301.40
  4. Step 4: Simplify right side
    150,757,301.40x = 34,019,539,138,203,676
  5. Step 5: Solve for x
    x = 34,019,539,138,203,676/150,757,301.40
  6. Step 6: Final answer
    x = 225,657,655.20

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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.