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Finding the Fourth Proportional to 969,348,520,791.25, 1,454,022,781,186.90 and 969,348,520,791.25

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Solution

The fourth proportional to 969,348,520,791.25, 1,454,022,781,186.90 and 969,348,520,791.25 is: 1,454,022,781,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,348,520,791.25 : 1,454,022,781,186.90 = 969,348,520,791.25 : x
  2. Step 2: Convert to fraction form
    969,348,520,791.25/1,454,022,781,186.90 = 969,348,520,791.25/x
  3. Step 3: Cross multiply
    969,348,520,791.25x = 1,454,022,781,186.90 × 969,348,520,791.25
  4. Step 4: Simplify right side
    969,348,520,791.25x = 1,409,454,832,140,300,759,072,768
  5. Step 5: Solve for x
    x = 1,409,454,832,140,300,759,072,768/969,348,520,791.25
  6. Step 6: Final answer
    x = 1,454,022,781,186.90

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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.