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Finding the Fourth Proportional to 275,570,857.70, 413,356,286.55 and 189,477,415.70

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Solution

The fourth proportional to 275,570,857.70, 413,356,286.55 and 189,477,415.70 is: 284,216,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,570,857.70 : 413,356,286.55 = 189,477,415.70 : x
  2. Step 2: Convert to fraction form
    275,570,857.70/413,356,286.55 = 189,477,415.70/x
  3. Step 3: Cross multiply
    275,570,857.70x = 413,356,286.55 × 189,477,415.70
  4. Step 4: Simplify right side
    275,570,857.70x = 78,321,680,938,842,672
  5. Step 5: Solve for x
    x = 78,321,680,938,842,672/275,570,857.70
  6. Step 6: Final answer
    x = 284,216,123.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.