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Finding the Fourth Proportional to 3,680,494,650,924.40, 5,520,741,976,386.40 and 3,680,494,650,924.40

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Solution

The fourth proportional to 3,680,494,650,924.40, 5,520,741,976,386.40 and 3,680,494,650,924.40 is: 5,520,741,976,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680,494,650,924.40 : 5,520,741,976,386.40 = 3,680,494,650,924.40 : x
  2. Step 2: Convert to fraction form
    3,680,494,650,924.40/5,520,741,976,386.40 = 3,680,494,650,924.40/x
  3. Step 3: Cross multiply
    3,680,494,650,924.40x = 5,520,741,976,386.40 × 3,680,494,650,924.40
  4. Step 4: Simplify right side
    3,680,494,650,924.40x = 20,319,061,313,223,946,726,801,408
  5. Step 5: Solve for x
    x = 20,319,061,313,223,946,726,801,408/3,680,494,650,924.40
  6. Step 6: Final answer
    x = 5,520,741,976,386.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.