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Finding the Fourth Proportional to 55,008,049.30, 82,512,073.95 and 55,008,049.30

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Solution

The fourth proportional to 55,008,049.30, 82,512,073.95 and 55,008,049.30 is: 82,512,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,008,049.30 : 82,512,073.95 = 55,008,049.30 : x
  2. Step 2: Convert to fraction form
    55,008,049.30/82,512,073.95 = 55,008,049.30/x
  3. Step 3: Cross multiply
    55,008,049.30x = 82,512,073.95 × 55,008,049.30
  4. Step 4: Simplify right side
    55,008,049.30x = 4,538,828,231,686,846
  5. Step 5: Solve for x
    x = 4,538,828,231,686,846/55,008,049.30
  6. Step 6: Final answer
    x = 82,512,073.95

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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.