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Finding the Fourth Proportional to 76,807,718,204.20, 115,211,577,306.30 and 76,807,718,204.20

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Solution

The fourth proportional to 76,807,718,204.20, 115,211,577,306.30 and 76,807,718,204.20 is: 115,211,577,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807,718,204.20 : 115,211,577,306.30 = 76,807,718,204.20 : x
  2. Step 2: Convert to fraction form
    76,807,718,204.20/115,211,577,306.30 = 76,807,718,204.20/x
  3. Step 3: Cross multiply
    76,807,718,204.20x = 115,211,577,306.30 × 76,807,718,204.20
  4. Step 4: Simplify right side
    76,807,718,204.20x = 8,849,138,363,603,694,387,200
  5. Step 5: Solve for x
    x = 8,849,138,363,603,694,387,200/76,807,718,204.20
  6. Step 6: Final answer
    x = 115,211,577,306.30

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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.