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Finding the Fourth Proportional to 110,438,136,616.30, 165,657,204,924.45 and 110,438,136,616.30

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Solution

The fourth proportional to 110,438,136,616.30, 165,657,204,924.45 and 110,438,136,616.30 is: 165,657,204,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,438,136,616.30 : 165,657,204,924.45 = 110,438,136,616.30 : x
  2. Step 2: Convert to fraction form
    110,438,136,616.30/165,657,204,924.45 = 110,438,136,616.30/x
  3. Step 3: Cross multiply
    110,438,136,616.30x = 165,657,204,924.45 × 110,438,136,616.30
  4. Step 4: Simplify right side
    110,438,136,616.30x = 18,294,873,028,920,816,435,200
  5. Step 5: Solve for x
    x = 18,294,873,028,920,816,435,200/110,438,136,616.30
  6. Step 6: Final answer
    x = 165,657,204,924.45

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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.