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Finding the Fourth Proportional to 664,238,641.80, 996,924,833.10 and 296,339,752.20

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Solution

The fourth proportional to 664,238,641.80, 996,924,833.10 and 296,339,752.20 is: 444,762,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,238,641.80 : 996,924,833.10 = 296,339,752.20 : x
  2. Step 2: Convert to fraction form
    664,238,641.80/996,924,833.10 = 296,339,752.20/x
  3. Step 3: Cross multiply
    664,238,641.80x = 996,924,833.10 × 296,339,752.20
  4. Step 4: Simplify right side
    664,238,641.80x = 295,428,458,002,880,384
  5. Step 5: Solve for x
    x = 295,428,458,002,880,384/664,238,641.80
  6. Step 6: Final answer
    x = 444,762,528.72

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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.