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Finding the Fourth Proportional to 488,713,251,230.20, 733,069,876,845.30 and 488,713,251,230.20

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Solution

The fourth proportional to 488,713,251,230.20, 733,069,876,845.30 and 488,713,251,230.20 is: 733,069,876,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,713,251,230.20 : 733,069,876,845.30 = 488,713,251,230.20 : x
  2. Step 2: Convert to fraction form
    488,713,251,230.20/733,069,876,845.30 = 488,713,251,230.20/x
  3. Step 3: Cross multiply
    488,713,251,230.20x = 733,069,876,845.30 × 488,713,251,230.20
  4. Step 4: Simplify right side
    488,713,251,230.20x = 358,260,962,891,988,887,142,400
  5. Step 5: Solve for x
    x = 358,260,962,891,988,887,142,400/488,713,251,230.20
  6. Step 6: Final answer
    x = 733,069,876,845.30

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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.