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Finding the Fourth Proportional to 542,658,517.30, 814,322,584.68 and 251,471,364.58

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Solution

The fourth proportional to 542,658,517.30, 814,322,584.68 and 251,471,364.58 is: 377,362,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,658,517.30 : 814,322,584.68 = 251,471,364.58 : x
  2. Step 2: Convert to fraction form
    542,658,517.30/814,322,584.68 = 251,471,364.58/x
  3. Step 3: Cross multiply
    542,658,517.30x = 814,322,584.68 × 251,471,364.58
  4. Step 4: Simplify right side
    542,658,517.30x = 204,778,811,577,792,192
  5. Step 5: Solve for x
    x = 204,778,811,577,792,192/542,658,517.30
  6. Step 6: Final answer
    x = 377,362,199.34

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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.