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Finding the Fourth Proportional to 193,766,904,037.20, 290,650,356,055.80 and 193,766,904,037.20

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Solution

The fourth proportional to 193,766,904,037.20, 290,650,356,055.80 and 193,766,904,037.20 is: 290,650,356,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,766,904,037.20 : 290,650,356,055.80 = 193,766,904,037.20 : x
  2. Step 2: Convert to fraction form
    193,766,904,037.20/290,650,356,055.80 = 193,766,904,037.20/x
  3. Step 3: Cross multiply
    193,766,904,037.20x = 290,650,356,055.80 × 193,766,904,037.20
  4. Step 4: Simplify right side
    193,766,904,037.20x = 56,318,419,650,242,209,120,256
  5. Step 5: Solve for x
    x = 56,318,419,650,242,209,120,256/193,766,904,037.20
  6. Step 6: Final answer
    x = 290,650,356,055.80

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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.