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Finding the Fourth Proportional to 142,512,243.20, 213,768,364.80 and 142,512,243.20

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Solution

The fourth proportional to 142,512,243.20, 213,768,364.80 and 142,512,243.20 is: 213,768,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,512,243.20 : 213,768,364.80 = 142,512,243.20 : x
  2. Step 2: Convert to fraction form
    142,512,243.20/213,768,364.80 = 142,512,243.20/x
  3. Step 3: Cross multiply
    142,512,243.20x = 213,768,364.80 × 142,512,243.20
  4. Step 4: Simplify right side
    142,512,243.20x = 30,464,609,192,843,920
  5. Step 5: Solve for x
    x = 30,464,609,192,843,920/142,512,243.20
  6. Step 6: Final answer
    x = 213,768,364.80

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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.