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Finding the Fourth Proportional to 150,606,475.30, 225,909,712.95 and 150,606,475.30

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Solution

The fourth proportional to 150,606,475.30, 225,909,712.95 and 150,606,475.30 is: 225,909,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,606,475.30 : 225,909,712.95 = 150,606,475.30 : x
  2. Step 2: Convert to fraction form
    150,606,475.30/225,909,712.95 = 150,606,475.30/x
  3. Step 3: Cross multiply
    150,606,475.30x = 225,909,712.95 × 150,606,475.30
  4. Step 4: Simplify right side
    150,606,475.30x = 34,023,465,603,434,268
  5. Step 5: Solve for x
    x = 34,023,465,603,434,268/150,606,475.30
  6. Step 6: Final answer
    x = 225,909,712.95

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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.