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Finding the Fourth Proportional to 441,752,165,512.20, 662,628,248,268.30 and 441,752,165,512.20

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Solution

The fourth proportional to 441,752,165,512.20, 662,628,248,268.30 and 441,752,165,512.20 is: 662,628,248,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,752,165,512.20 : 662,628,248,268.30 = 441,752,165,512.20 : x
  2. Step 2: Convert to fraction form
    441,752,165,512.20/662,628,248,268.30 = 441,752,165,512.20/x
  3. Step 3: Cross multiply
    441,752,165,512.20x = 662,628,248,268.30 × 441,752,165,512.20
  4. Step 4: Simplify right side
    441,752,165,512.20x = 292,717,463,602,077,229,907,968
  5. Step 5: Solve for x
    x = 292,717,463,602,077,229,907,968/441,752,165,512.20
  6. Step 6: Final answer
    x = 662,628,248,268.30

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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.