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Finding the Fourth Proportional to 861,283,627,216.20, 1,291,925,440,824.30 and 861,283,627,216.20

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Solution

The fourth proportional to 861,283,627,216.20, 1,291,925,440,824.30 and 861,283,627,216.20 is: 1,291,925,440,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,283,627,216.20 : 1,291,925,440,824.30 = 861,283,627,216.20 : x
  2. Step 2: Convert to fraction form
    861,283,627,216.20/1,291,925,440,824.30 = 861,283,627,216.20/x
  3. Step 3: Cross multiply
    861,283,627,216.20x = 1,291,925,440,824.30 × 861,283,627,216.20
  4. Step 4: Simplify right side
    861,283,627,216.20x = 1,112,714,229,766,041,215,434,752
  5. Step 5: Solve for x
    x = 1,112,714,229,766,041,215,434,752/861,283,627,216.20
  6. Step 6: Final answer
    x = 1,291,925,440,824.30

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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.