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Finding the Fourth Proportional to 508,361,505.80, 701,500,377.67 and 285,300,107.03

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Solution

The fourth proportional to 508,361,505.80, 701,500,377.67 and 285,300,107.03 is: 393,692,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,361,505.80 : 701,500,377.67 = 285,300,107.03 : x
  2. Step 2: Convert to fraction form
    508,361,505.80/701,500,377.67 = 285,300,107.03/x
  3. Step 3: Cross multiply
    508,361,505.80x = 701,500,377.67 × 285,300,107.03
  4. Step 4: Simplify right side
    508,361,505.80x = 200,138,132,831,876,960
  5. Step 5: Solve for x
    x = 200,138,132,831,876,960/508,361,505.80
  6. Step 6: Final answer
    x = 393,692,540.74

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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.