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Finding the Fourth Proportional to 132,192,194.40, 198,288,291.60 and 132,192,194.40

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Solution

The fourth proportional to 132,192,194.40, 198,288,291.60 and 132,192,194.40 is: 198,288,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,192,194.40 : 198,288,291.60 = 132,192,194.40 : x
  2. Step 2: Convert to fraction form
    132,192,194.40/198,288,291.60 = 132,192,194.40/x
  3. Step 3: Cross multiply
    132,192,194.40x = 198,288,291.60 × 132,192,194.40
  4. Step 4: Simplify right side
    132,192,194.40x = 26,212,164,390,431,088
  5. Step 5: Solve for x
    x = 26,212,164,390,431,088/132,192,194.40
  6. Step 6: Final answer
    x = 198,288,291.60

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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.