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Finding the Fourth Proportional to 200,204,290.20, 279,605,761.80 and 200,204,290.20

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Solution

The fourth proportional to 200,204,290.20, 279,605,761.80 and 200,204,290.20 is: 279,605,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,204,290.20 : 279,605,761.80 = 200,204,290.20 : x
  2. Step 2: Convert to fraction form
    200,204,290.20/279,605,761.80 = 200,204,290.20/x
  3. Step 3: Cross multiply
    200,204,290.20x = 279,605,761.80 × 200,204,290.20
  4. Step 4: Simplify right side
    200,204,290.20x = 55,978,273,076,999,272
  5. Step 5: Solve for x
    x = 55,978,273,076,999,272/200,204,290.20
  6. Step 6: Final answer
    x = 279,605,761.80

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