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Finding the Fourth Proportional to 1,003,241,230.20, 1,504,861,845.30 and 1,003,241,230.20

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Solution

The fourth proportional to 1,003,241,230.20, 1,504,861,845.30 and 1,003,241,230.20 is: 1,504,861,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,241,230.20 : 1,504,861,845.30 = 1,003,241,230.20 : x
  2. Step 2: Convert to fraction form
    1,003,241,230.20/1,504,861,845.30 = 1,003,241,230.20/x
  3. Step 3: Cross multiply
    1,003,241,230.20x = 1,504,861,845.30 × 1,003,241,230.20
  4. Step 4: Simplify right side
    1,003,241,230.20x = 1,509,739,448,959,814,144
  5. Step 5: Solve for x
    x = 1,509,739,448,959,814,144/1,003,241,230.20
  6. Step 6: Final answer
    x = 1,504,861,845.30

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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.