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Finding the Fourth Proportional to 393,187,608,082.80, 589,781,412,129.60 and 393,187,608,082.80

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Solution

The fourth proportional to 393,187,608,082.80, 589,781,412,129.60 and 393,187,608,082.80 is: 589,781,412,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,187,608,082.80 : 589,781,412,129.60 = 393,187,608,082.80 : x
  2. Step 2: Convert to fraction form
    393,187,608,082.80/589,781,412,129.60 = 393,187,608,082.80/x
  3. Step 3: Cross multiply
    393,187,608,082.80x = 589,781,412,129.60 × 393,187,608,082.80
  4. Step 4: Simplify right side
    393,187,608,082.80x = 231,894,742,726,933,500,395,520
  5. Step 5: Solve for x
    x = 231,894,742,726,933,500,395,520/393,187,608,082.80
  6. Step 6: Final answer
    x = 589,781,412,129.60

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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.