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Finding the Fourth Proportional to 1,008,951,193.62, 1,512,700,438.32 and 619,970,335.20

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Solution

The fourth proportional to 1,008,951,193.62, 1,512,700,438.32 and 619,970,335.20 is: 929,509,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,951,193.62 : 1,512,700,438.32 = 619,970,335.20 : x
  2. Step 2: Convert to fraction form
    1,008,951,193.62/1,512,700,438.32 = 619,970,335.20/x
  3. Step 3: Cross multiply
    1,008,951,193.62x = 1,512,700,438.32 × 619,970,335.20
  4. Step 4: Simplify right side
    1,008,951,193.62x = 937,829,397,802,437,376
  5. Step 5: Solve for x
    x = 937,829,397,802,437,376/1,008,951,193.62
  6. Step 6: Final answer
    x = 929,509,181.15

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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.