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Finding the Fourth Proportional to 161,752,208.40, 226,856,199.60 and 161,752,208.40

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Solution

The fourth proportional to 161,752,208.40, 226,856,199.60 and 161,752,208.40 is: 226,856,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,752,208.40 : 226,856,199.60 = 161,752,208.40 : x
  2. Step 2: Convert to fraction form
    161,752,208.40/226,856,199.60 = 161,752,208.40/x
  3. Step 3: Cross multiply
    161,752,208.40x = 226,856,199.60 × 161,752,208.40
  4. Step 4: Simplify right side
    161,752,208.40x = 36,694,491,274,531,200
  5. Step 5: Solve for x
    x = 36,694,491,274,531,200/161,752,208.40
  6. Step 6: Final answer
    x = 226,856,199.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.