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Finding the Fourth Proportional to 150,606,778.05, 225,910,167.14 and 150,606,778.05

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Solution

The fourth proportional to 150,606,778.05, 225,910,167.14 and 150,606,778.05 is: 225,910,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,606,778.05 : 225,910,167.14 = 150,606,778.05 : x
  2. Step 2: Convert to fraction form
    150,606,778.05/225,910,167.14 = 150,606,778.05/x
  3. Step 3: Cross multiply
    150,606,778.05x = 225,910,167.14 × 150,606,778.05
  4. Step 4: Simplify right side
    150,606,778.05x = 34,023,602,400,939,352
  5. Step 5: Solve for x
    x = 34,023,602,400,939,352/150,606,778.05
  6. Step 6: Final answer
    x = 225,910,167.14

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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.