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Finding the Fourth Proportional to 577,829,737.82, 866,900,987.51 and 412,042,690.76

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Solution

The fourth proportional to 577,829,737.82, 866,900,987.51 and 412,042,690.76 is: 618,175,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,829,737.82 : 866,900,987.51 = 412,042,690.76 : x
  2. Step 2: Convert to fraction form
    577,829,737.82/866,900,987.51 = 412,042,690.76/x
  3. Step 3: Cross multiply
    577,829,737.82x = 866,900,987.51 × 412,042,690.76
  4. Step 4: Simplify right side
    577,829,737.82x = 357,200,215,509,726,848
  5. Step 5: Solve for x
    x = 357,200,215,509,726,848/577,829,737.82
  6. Step 6: Final answer
    x = 618,175,549.18

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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.