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Finding the Fourth Proportional to 809,193,316.40, 1,213,789,974.60 and 809,193,316.40

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Solution

The fourth proportional to 809,193,316.40, 1,213,789,974.60 and 809,193,316.40 is: 1,213,789,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,193,316.40 : 1,213,789,974.60 = 809,193,316.40 : x
  2. Step 2: Convert to fraction form
    809,193,316.40/1,213,789,974.60 = 809,193,316.40/x
  3. Step 3: Cross multiply
    809,193,316.40x = 1,213,789,974.60 × 809,193,316.40
  4. Step 4: Simplify right side
    809,193,316.40x = 982,190,734,959,645,696
  5. Step 5: Solve for x
    x = 982,190,734,959,645,696/809,193,316.40
  6. Step 6: Final answer
    x = 1,213,789,974.60

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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.