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Finding the Fourth Proportional to 378,145,432,884.80, 567,218,149,327.20 and 378,145,432,884.80

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Solution

The fourth proportional to 378,145,432,884.80, 567,218,149,327.20 and 378,145,432,884.80 is: 567,218,149,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,145,432,884.80 : 567,218,149,327.20 = 378,145,432,884.80 : x
  2. Step 2: Convert to fraction form
    378,145,432,884.80/567,218,149,327.20 = 378,145,432,884.80/x
  3. Step 3: Cross multiply
    378,145,432,884.80x = 567,218,149,327.20 × 378,145,432,884.80
  4. Step 4: Simplify right side
    378,145,432,884.80x = 214,490,952,617,449,140,256,768
  5. Step 5: Solve for x
    x = 214,490,952,617,449,140,256,768/378,145,432,884.80
  6. Step 6: Final answer
    x = 567,218,149,327.20

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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.