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Finding the Fourth Proportional to 142,128,000.10, 213,192,000.15 and 142,128,000.10

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Solution

The fourth proportional to 142,128,000.10, 213,192,000.15 and 142,128,000.10 is: 213,192,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,128,000.10 : 213,192,000.15 = 142,128,000.10 : x
  2. Step 2: Convert to fraction form
    142,128,000.10/213,192,000.15 = 142,128,000.10/x
  3. Step 3: Cross multiply
    142,128,000.10x = 213,192,000.15 × 142,128,000.10
  4. Step 4: Simplify right side
    142,128,000.10x = 30,300,552,618,638,400
  5. Step 5: Solve for x
    x = 30,300,552,618,638,400/142,128,000.10
  6. Step 6: Final answer
    x = 213,192,000.15

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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.