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Finding the Fourth Proportional to 645,680,661,626.80, 968,520,992,440.20 and 645,680,661,626.80

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Solution

The fourth proportional to 645,680,661,626.80, 968,520,992,440.20 and 645,680,661,626.80 is: 968,520,992,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,680,661,626.80 : 968,520,992,440.20 = 645,680,661,626.80 : x
  2. Step 2: Convert to fraction form
    645,680,661,626.80/968,520,992,440.20 = 645,680,661,626.80/x
  3. Step 3: Cross multiply
    645,680,661,626.80x = 968,520,992,440.20 × 645,680,661,626.80
  4. Step 4: Simplify right side
    645,680,661,626.80x = 625,355,275,198,233,317,474,304
  5. Step 5: Solve for x
    x = 625,355,275,198,233,317,474,304/645,680,661,626.80
  6. Step 6: Final answer
    x = 968,520,992,440.20

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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.