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Finding the Fourth Proportional to 3,680,494,650,974.20, 5,520,741,976,461.40 and 3,680,494,650,974.20

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Solution

The fourth proportional to 3,680,494,650,974.20, 5,520,741,976,461.40 and 3,680,494,650,974.20 is: 5,520,741,976,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680,494,650,974.20 : 5,520,741,976,461.40 = 3,680,494,650,974.20 : x
  2. Step 2: Convert to fraction form
    3,680,494,650,974.20/5,520,741,976,461.40 = 3,680,494,650,974.20/x
  3. Step 3: Cross multiply
    3,680,494,650,974.20x = 5,520,741,976,461.40 × 3,680,494,650,974.20
  4. Step 4: Simplify right side
    3,680,494,650,974.20x = 20,319,061,313,774,918,016,434,176
  5. Step 5: Solve for x
    x = 20,319,061,313,774,918,016,434,176/3,680,494,650,974.20
  6. Step 6: Final answer
    x = 5,520,741,976,461.40

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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.