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Finding the Fourth Proportional to 1,253,361,517.74, 1,728,918,508.74 and 782,645,712.30

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Solution

The fourth proportional to 1,253,361,517.74, 1,728,918,508.74 and 782,645,712.30 is: 1,079,601,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,361,517.74 : 1,728,918,508.74 = 782,645,712.30 : x
  2. Step 2: Convert to fraction form
    1,253,361,517.74/1,728,918,508.74 = 782,645,712.30/x
  3. Step 3: Cross multiply
    1,253,361,517.74x = 1,728,918,508.74 × 782,645,712.30
  4. Step 4: Simplify right side
    1,253,361,517.74x = 1,353,130,657,781,470,976
  5. Step 5: Solve for x
    x = 1,353,130,657,781,470,976/1,253,361,517.74
  6. Step 6: Final answer
    x = 1,079,601,247.23

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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.