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Finding the Fourth Proportional to 252,096,952,247.20, 378,145,428,370.80 and 252,096,952,247.20

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Solution

The fourth proportional to 252,096,952,247.20, 378,145,428,370.80 and 252,096,952,247.20 is: 378,145,428,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,096,952,247.20 : 378,145,428,370.80 = 252,096,952,247.20 : x
  2. Step 2: Convert to fraction form
    252,096,952,247.20/378,145,428,370.80 = 252,096,952,247.20/x
  3. Step 3: Cross multiply
    252,096,952,247.20x = 378,145,428,370.80 × 252,096,952,247.20
  4. Step 4: Simplify right side
    252,096,952,247.20x = 95,329,309,998,490,549,485,568
  5. Step 5: Solve for x
    x = 95,329,309,998,490,549,485,568/252,096,952,247.20
  6. Step 6: Final answer
    x = 378,145,428,370.80

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1.5x scale

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.