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Finding the Fourth Proportional to 262,821,836.40, 394,232,754.60 and 262,821,836.40

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Solution

The fourth proportional to 262,821,836.40, 394,232,754.60 and 262,821,836.40 is: 394,232,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,821,836.40 : 394,232,754.60 = 262,821,836.40 : x
  2. Step 2: Convert to fraction form
    262,821,836.40/394,232,754.60 = 262,821,836.40/x
  3. Step 3: Cross multiply
    262,821,836.40x = 394,232,754.60 × 262,821,836.40
  4. Step 4: Simplify right side
    262,821,836.40x = 103,612,976,533,002,560
  5. Step 5: Solve for x
    x = 103,612,976,533,002,560/262,821,836.40
  6. Step 6: Final answer
    x = 394,232,754.60

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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.