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Finding the Fourth Proportional to 966,158,913.60, 1,449,479,815.20 and 311,171,659.20

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Solution

The fourth proportional to 966,158,913.60, 1,449,479,815.20 and 311,171,659.20 is: 466,835,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,158,913.60 : 1,449,479,815.20 = 311,171,659.20 : x
  2. Step 2: Convert to fraction form
    966,158,913.60/1,449,479,815.20 = 311,171,659.20/x
  3. Step 3: Cross multiply
    966,158,913.60x = 1,449,479,815.20 × 311,171,659.20
  4. Step 4: Simplify right side
    966,158,913.60x = 451,037,039,072,693,376
  5. Step 5: Solve for x
    x = 451,037,039,072,693,376/966,158,913.60
  6. Step 6: Final answer
    x = 466,835,251.14

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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.