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Finding the Fourth Proportional to 142,084,025.20, 199,119,189.20 and 142,084,025.20

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Solution

The fourth proportional to 142,084,025.20, 199,119,189.20 and 142,084,025.20 is: 199,119,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,084,025.20 : 199,119,189.20 = 142,084,025.20 : x
  2. Step 2: Convert to fraction form
    142,084,025.20/199,119,189.20 = 142,084,025.20/x
  3. Step 3: Cross multiply
    142,084,025.20x = 199,119,189.20 × 142,084,025.20
  4. Step 4: Simplify right side
    142,084,025.20x = 28,291,655,896,096,364
  5. Step 5: Solve for x
    x = 28,291,655,896,096,364/142,084,025.20
  6. Step 6: Final answer
    x = 199,119,189.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.