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Finding the Fourth Proportional to 1,148,885,158, 1,723,327,775.88 and 287,242,150

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Solution

The fourth proportional to 1,148,885,158, 1,723,327,775.88 and 287,242,150 is: 430,863,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,885,158 : 1,723,327,775.88 = 287,242,150 : x
  2. Step 2: Convert to fraction form
    1,148,885,158/1,723,327,775.88 = 287,242,150/x
  3. Step 3: Cross multiply
    1,148,885,158x = 1,723,327,775.88 × 287,242,150
  4. Step 4: Simplify right side
    1,148,885,158x = 495,012,375,498,489,344
  5. Step 5: Solve for x
    x = 495,012,375,498,489,344/1,148,885,158
  6. Step 6: Final answer
    x = 430,863,234.72

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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.