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Finding the Fourth Proportional to 180,654,859.92, 270,982,498.92 and 49,498,251.48

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Solution

The fourth proportional to 180,654,859.92, 270,982,498.92 and 49,498,251.48 is: 74,247,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,654,859.92 : 270,982,498.92 = 49,498,251.48 : x
  2. Step 2: Convert to fraction form
    180,654,859.92/270,982,498.92 = 49,498,251.48/x
  3. Step 3: Cross multiply
    180,654,859.92x = 270,982,498.92 × 49,498,251.48
  4. Step 4: Simplify right side
    180,654,859.92x = 13,413,159,878,220,988
  5. Step 5: Solve for x
    x = 13,413,159,878,220,988/180,654,859.92
  6. Step 6: Final answer
    x = 74,247,434.50

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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.