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Finding the Fourth Proportional to 165,961,099.80, 248,941,649.70 and 165,961,099.80

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Solution

The fourth proportional to 165,961,099.80, 248,941,649.70 and 165,961,099.80 is: 248,941,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,961,099.80 : 248,941,649.70 = 165,961,099.80 : x
  2. Step 2: Convert to fraction form
    165,961,099.80/248,941,649.70 = 165,961,099.80/x
  3. Step 3: Cross multiply
    165,961,099.80x = 248,941,649.70 × 165,961,099.80
  4. Step 4: Simplify right side
    165,961,099.80x = 41,314,629,970,238,344
  5. Step 5: Solve for x
    x = 41,314,629,970,238,344/165,961,099.80
  6. Step 6: Final answer
    x = 248,941,649.70

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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.