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Finding the Fourth Proportional to 110,438,136,628.80, 165,657,204,943.20 and 110,438,136,628.80

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Solution

The fourth proportional to 110,438,136,628.80, 165,657,204,943.20 and 110,438,136,628.80 is: 165,657,204,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,438,136,628.80 : 165,657,204,943.20 = 110,438,136,628.80 : x
  2. Step 2: Convert to fraction form
    110,438,136,628.80/165,657,204,943.20 = 110,438,136,628.80/x
  3. Step 3: Cross multiply
    110,438,136,628.80x = 165,657,204,943.20 × 110,438,136,628.80
  4. Step 4: Simplify right side
    110,438,136,628.80x = 18,294,873,033,062,247,038,976
  5. Step 5: Solve for x
    x = 18,294,873,033,062,247,038,976/110,438,136,628.80
  6. Step 6: Final answer
    x = 165,657,204,943.20

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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.