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Finding the Fourth Proportional to 132,142,499.80, 198,213,749.70 and 132,142,499.80

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Solution

The fourth proportional to 132,142,499.80, 198,213,749.70 and 132,142,499.80 is: 198,213,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,142,499.80 : 198,213,749.70 = 132,142,499.80 : x
  2. Step 2: Convert to fraction form
    132,142,499.80/198,213,749.70 = 132,142,499.80/x
  3. Step 3: Cross multiply
    132,142,499.80x = 198,213,749.70 × 132,142,499.80
  4. Step 4: Simplify right side
    132,142,499.80x = 26,192,460,380,089,496
  5. Step 5: Solve for x
    x = 26,192,460,380,089,496/132,142,499.80
  6. Step 6: Final answer
    x = 198,213,749.70

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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.