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Finding the Fourth Proportional to 132,133,077.30, 198,199,615.95 and 132,133,077.30

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Solution

The fourth proportional to 132,133,077.30, 198,199,615.95 and 132,133,077.30 is: 198,199,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,133,077.30 : 198,199,615.95 = 132,133,077.30 : x
  2. Step 2: Convert to fraction form
    132,133,077.30/198,199,615.95 = 132,133,077.30/x
  3. Step 3: Cross multiply
    132,133,077.30x = 198,199,615.95 × 132,133,077.30
  4. Step 4: Simplify right side
    132,133,077.30x = 26,188,725,175,151,660
  5. Step 5: Solve for x
    x = 26,188,725,175,151,660/132,133,077.30
  6. Step 6: Final answer
    x = 198,199,615.95

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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.