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Finding the Fourth Proportional to 132,214,186,055.70, 198,321,279,083.55 and 132,214,186,055.70

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Solution

The fourth proportional to 132,214,186,055.70, 198,321,279,083.55 and 132,214,186,055.70 is: 198,321,279,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,214,186,055.70 : 198,321,279,083.55 = 132,214,186,055.70 : x
  2. Step 2: Convert to fraction form
    132,214,186,055.70/198,321,279,083.55 = 132,214,186,055.70/x
  3. Step 3: Cross multiply
    132,214,186,055.70x = 198,321,279,083.55 × 132,214,186,055.70
  4. Step 4: Simplify right side
    132,214,186,055.70x = 26,220,886,491,556,881,629,184
  5. Step 5: Solve for x
    x = 26,220,886,491,556,881,629,184/132,214,186,055.70
  6. Step 6: Final answer
    x = 198,321,279,083.55

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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.