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Finding the Fourth Proportional to 273,195,854.88, 409,793,852.04 and 76,488,248.20

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Solution

The fourth proportional to 273,195,854.88, 409,793,852.04 and 76,488,248.20 is: 114,732,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,195,854.88 : 409,793,852.04 = 76,488,248.20 : x
  2. Step 2: Convert to fraction form
    273,195,854.88/409,793,852.04 = 76,488,248.20/x
  3. Step 3: Cross multiply
    273,195,854.88x = 409,793,852.04 × 76,488,248.20
  4. Step 4: Simplify right side
    273,195,854.88x = 31,344,413,865,669,600
  5. Step 5: Solve for x
    x = 31,344,413,865,669,600/273,195,854.88
  6. Step 6: Final answer
    x = 114,732,391.82

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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.