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Finding the Fourth Proportional to 199,691,272.80, 280,373,997.60 and 199,691,272.80

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Solution

The fourth proportional to 199,691,272.80, 280,373,997.60 and 199,691,272.80 is: 280,373,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,691,272.80 : 280,373,997.60 = 199,691,272.80 : x
  2. Step 2: Convert to fraction form
    199,691,272.80/280,373,997.60 = 199,691,272.80/x
  3. Step 3: Cross multiply
    199,691,272.80x = 280,373,997.60 × 199,691,272.80
  4. Step 4: Simplify right side
    199,691,272.80x = 55,988,240,440,768,152
  5. Step 5: Solve for x
    x = 55,988,240,440,768,152/199,691,272.80
  6. Step 6: Final answer
    x = 280,373,997.60

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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.