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Finding the Fourth Proportional to 645,680,661,635.75, 968,520,992,453.70 and 645,680,661,635.75

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Solution

The fourth proportional to 645,680,661,635.75, 968,520,992,453.70 and 645,680,661,635.75 is: 968,520,992,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,680,661,635.75 : 968,520,992,453.70 = 645,680,661,635.75 : x
  2. Step 2: Convert to fraction form
    645,680,661,635.75/968,520,992,453.70 = 645,680,661,635.75/x
  3. Step 3: Cross multiply
    645,680,661,635.75x = 968,520,992,453.70 × 645,680,661,635.75
  4. Step 4: Simplify right side
    645,680,661,635.75x = 625,355,275,215,618,271,346,688
  5. Step 5: Solve for x
    x = 625,355,275,215,618,271,346,688/645,680,661,635.75
  6. Step 6: Final answer
    x = 968,520,992,453.70

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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.