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Finding the Fourth Proportional to 617,806,002.30, 926,694,833.85 and 311,015,730.30

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Solution

The fourth proportional to 617,806,002.30, 926,694,833.85 and 311,015,730.30 is: 466,516,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,806,002.30 : 926,694,833.85 = 311,015,730.30 : x
  2. Step 2: Convert to fraction form
    617,806,002.30/926,694,833.85 = 311,015,730.30/x
  3. Step 3: Cross multiply
    617,806,002.30x = 926,694,833.85 × 311,015,730.30
  4. Step 4: Simplify right side
    617,806,002.30x = 288,216,670,515,094,944
  5. Step 5: Solve for x
    x = 288,216,670,515,094,944/617,806,002.30
  6. Step 6: Final answer
    x = 466,516,462.19

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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.