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Finding the Fourth Proportional to 18,656,203,498.20, 27,984,305,247.30 and 18,656,203,498.20

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Solution

The fourth proportional to 18,656,203,498.20, 27,984,305,247.30 and 18,656,203,498.20 is: 27,984,305,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656,203,498.20 : 27,984,305,247.30 = 18,656,203,498.20 : x
  2. Step 2: Convert to fraction form
    18,656,203,498.20/27,984,305,247.30 = 18,656,203,498.20/x
  3. Step 3: Cross multiply
    18,656,203,498.20x = 27,984,305,247.30 × 18,656,203,498.20
  4. Step 4: Simplify right side
    18,656,203,498.20x = 522,080,893,449,374,859,264
  5. Step 5: Solve for x
    x = 522,080,893,449,374,859,264/18,656,203,498.20
  6. Step 6: Final answer
    x = 27,984,305,247.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.