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Finding the Fourth Proportional to 276,058,469.20, 413,736,034.20 and 146,728,037.20

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Solution

The fourth proportional to 276,058,469.20, 413,736,034.20 and 146,728,037.20 is: 219,905,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,058,469.20 : 413,736,034.20 = 146,728,037.20 : x
  2. Step 2: Convert to fraction form
    276,058,469.20/413,736,034.20 = 146,728,037.20/x
  3. Step 3: Cross multiply
    276,058,469.20x = 413,736,034.20 × 146,728,037.20
  4. Step 4: Simplify right side
    276,058,469.20x = 60,706,676,217,078,064
  5. Step 5: Solve for x
    x = 60,706,676,217,078,064/276,058,469.20
  6. Step 6: Final answer
    x = 219,905,139.64

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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.