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Finding the Fourth Proportional to 159,408,049.15, 239,112,073.73 and 159,408,049.15

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Solution

The fourth proportional to 159,408,049.15, 239,112,073.73 and 159,408,049.15 is: 239,112,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,408,049.15 : 239,112,073.73 = 159,408,049.15 : x
  2. Step 2: Convert to fraction form
    159,408,049.15/239,112,073.73 = 159,408,049.15/x
  3. Step 3: Cross multiply
    159,408,049.15x = 239,112,073.73 × 159,408,049.15
  4. Step 4: Simplify right side
    159,408,049.15x = 38,116,389,201,510,264
  5. Step 5: Solve for x
    x = 38,116,389,201,510,264/159,408,049.15
  6. Step 6: Final answer
    x = 239,112,073.73

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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.