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Finding the Fourth Proportional to 773,719,672.61, 1,067,728,600.31 and 421,294,819.50

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Solution

The fourth proportional to 773,719,672.61, 1,067,728,600.31 and 421,294,819.50 is: 581,384,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,719,672.61 : 1,067,728,600.31 = 421,294,819.50 : x
  2. Step 2: Convert to fraction form
    773,719,672.61/1,067,728,600.31 = 421,294,819.50/x
  3. Step 3: Cross multiply
    773,719,672.61x = 1,067,728,600.31 × 421,294,819.50
  4. Step 4: Simplify right side
    773,719,672.61x = 449,828,527,940,482,624
  5. Step 5: Solve for x
    x = 449,828,527,940,482,624/773,719,672.61
  6. Step 6: Final answer
    x = 581,384,374.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.