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Finding the Fourth Proportional to 906,605,344.20, 1,359,908,016.30 and 725,206,816.20

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Solution

The fourth proportional to 906,605,344.20, 1,359,908,016.30 and 725,206,816.20 is: 1,087,810,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,605,344.20 : 1,359,908,016.30 = 725,206,816.20 : x
  2. Step 2: Convert to fraction form
    906,605,344.20/1,359,908,016.30 = 725,206,816.20/x
  3. Step 3: Cross multiply
    906,605,344.20x = 1,359,908,016.30 × 725,206,816.20
  4. Step 4: Simplify right side
    906,605,344.20x = 986,214,562,825,780,736
  5. Step 5: Solve for x
    x = 986,214,562,825,780,736/906,605,344.20
  6. Step 6: Final answer
    x = 1,087,810,224.30

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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.