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Finding the Fourth Proportional to 199,324,175.60, 298,986,263.40 and 199,324,175.60

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Solution

The fourth proportional to 199,324,175.60, 298,986,263.40 and 199,324,175.60 is: 298,986,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,324,175.60 : 298,986,263.40 = 199,324,175.60 : x
  2. Step 2: Convert to fraction form
    199,324,175.60/298,986,263.40 = 199,324,175.60/x
  3. Step 3: Cross multiply
    199,324,175.60x = 298,986,263.40 × 199,324,175.60
  4. Step 4: Simplify right side
    199,324,175.60x = 59,595,190,467,929,448
  5. Step 5: Solve for x
    x = 59,595,190,467,929,448/199,324,175.60
  6. Step 6: Final answer
    x = 298,986,263.40

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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.