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Finding the Fourth Proportional to 3,680,494,650,932.20, 5,520,741,976,398.20 and 3,680,494,650,932.20

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Solution

The fourth proportional to 3,680,494,650,932.20, 5,520,741,976,398.20 and 3,680,494,650,932.20 is: 5,520,741,976,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680,494,650,932.20 : 5,520,741,976,398.20 = 3,680,494,650,932.20 : x
  2. Step 2: Convert to fraction form
    3,680,494,650,932.20/5,520,741,976,398.20 = 3,680,494,650,932.20/x
  3. Step 3: Cross multiply
    3,680,494,650,932.20x = 5,520,741,976,398.20 × 3,680,494,650,932.20
  4. Step 4: Simplify right side
    3,680,494,650,932.20x = 20,319,061,313,310,438,778,208,256
  5. Step 5: Solve for x
    x = 20,319,061,313,310,438,778,208,256/3,680,494,650,932.20
  6. Step 6: Final answer
    x = 5,520,741,976,398.20

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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.