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Finding the Fourth Proportional to 132,112,296,065.35, 198,168,444,098.02 and 132,112,296,065.35

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Solution

The fourth proportional to 132,112,296,065.35, 198,168,444,098.02 and 132,112,296,065.35 is: 198,168,444,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,112,296,065.35 : 198,168,444,098.02 = 132,112,296,065.35 : x
  2. Step 2: Convert to fraction form
    132,112,296,065.35/198,168,444,098.02 = 132,112,296,065.35/x
  3. Step 3: Cross multiply
    132,112,296,065.35x = 198,168,444,098.02 × 132,112,296,065.35
  4. Step 4: Simplify right side
    132,112,296,065.35x = 26,180,488,157,487,379,251,200
  5. Step 5: Solve for x
    x = 26,180,488,157,487,379,251,200/132,112,296,065.35
  6. Step 6: Final answer
    x = 198,168,444,098.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.