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Finding the Fourth Proportional to 110,854,656,044.80, 166,281,984,067.20 and 110,854,656,044.80

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Solution

The fourth proportional to 110,854,656,044.80, 166,281,984,067.20 and 110,854,656,044.80 is: 166,281,984,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,854,656,044.80 : 166,281,984,067.20 = 110,854,656,044.80 : x
  2. Step 2: Convert to fraction form
    110,854,656,044.80/166,281,984,067.20 = 110,854,656,044.80/x
  3. Step 3: Cross multiply
    110,854,656,044.80x = 166,281,984,067.20 × 110,854,656,044.80
  4. Step 4: Simplify right side
    110,854,656,044.80x = 18,433,132,150,216,372,256,768
  5. Step 5: Solve for x
    x = 18,433,132,150,216,372,256,768/110,854,656,044.80
  6. Step 6: Final answer
    x = 166,281,984,067.20

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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.