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Finding the Fourth Proportional to 310,700,473.97, 428,906,481.08 and 204,916,644.60

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Solution

The fourth proportional to 310,700,473.97, 428,906,481.08 and 204,916,644.60 is: 282,877,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,700,473.97 : 428,906,481.08 = 204,916,644.60 : x
  2. Step 2: Convert to fraction form
    310,700,473.97/428,906,481.08 = 204,916,644.60/x
  3. Step 3: Cross multiply
    310,700,473.97x = 428,906,481.08 × 204,916,644.60
  4. Step 4: Simplify right side
    310,700,473.97x = 87,890,076,949,082,400
  5. Step 5: Solve for x
    x = 87,890,076,949,082,400/310,700,473.97
  6. Step 6: Final answer
    x = 282,877,189.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.