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Finding the Fourth Proportional to 3,680,494,650,969.70, 5,520,741,976,454.40 and 3,680,494,650,969.70

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Solution

The fourth proportional to 3,680,494,650,969.70, 5,520,741,976,454.40 and 3,680,494,650,969.70 is: 5,520,741,976,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680,494,650,969.70 : 5,520,741,976,454.40 = 3,680,494,650,969.70 : x
  2. Step 2: Convert to fraction form
    3,680,494,650,969.70/5,520,741,976,454.40 = 3,680,494,650,969.70/x
  3. Step 3: Cross multiply
    3,680,494,650,969.70x = 5,520,741,976,454.40 × 3,680,494,650,969.70
  4. Step 4: Simplify right side
    3,680,494,650,969.70x = 20,319,061,313,724,310,416,785,408
  5. Step 5: Solve for x
    x = 20,319,061,313,724,310,416,785,408/3,680,494,650,969.70
  6. Step 6: Final answer
    x = 5,520,741,976,454.40

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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.