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Finding the Fourth Proportional to 906,684,328.20, 1,357,759,010.70 and 725,285,800.20

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Solution

The fourth proportional to 906,684,328.20, 1,357,759,010.70 and 725,285,800.20 is: 1,086,114,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,684,328.20 : 1,357,759,010.70 = 725,285,800.20 : x
  2. Step 2: Convert to fraction form
    906,684,328.20/1,357,759,010.70 = 725,285,800.20/x
  3. Step 3: Cross multiply
    906,684,328.20x = 1,357,759,010.70 × 725,285,800.20
  4. Step 4: Simplify right side
    906,684,328.20x = 984,763,330,554,310,016
  5. Step 5: Solve for x
    x = 984,763,330,554,310,016/906,684,328.20
  6. Step 6: Final answer
    x = 1,086,114,869.23

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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.