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Finding the Fourth Proportional to 839,809,724.60, 1,257,447,105.30 and 839,809,724.60

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Solution

The fourth proportional to 839,809,724.60, 1,257,447,105.30 and 839,809,724.60 is: 1,257,447,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,809,724.60 : 1,257,447,105.30 = 839,809,724.60 : x
  2. Step 2: Convert to fraction form
    839,809,724.60/1,257,447,105.30 = 839,809,724.60/x
  3. Step 3: Cross multiply
    839,809,724.60x = 1,257,447,105.30 × 839,809,724.60
  4. Step 4: Simplify right side
    839,809,724.60x = 1,056,016,307,201,060,224
  5. Step 5: Solve for x
    x = 1,056,016,307,201,060,224/839,809,724.60
  6. Step 6: Final answer
    x = 1,257,447,105.30

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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.