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Finding the Fourth Proportional to 809,193,313.90, 1,213,789,970.85 and 809,193,313.90

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Solution

The fourth proportional to 809,193,313.90, 1,213,789,970.85 and 809,193,313.90 is: 1,213,789,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,193,313.90 : 1,213,789,970.85 = 809,193,313.90 : x
  2. Step 2: Convert to fraction form
    809,193,313.90/1,213,789,970.85 = 809,193,313.90/x
  3. Step 3: Cross multiply
    809,193,313.90x = 1,213,789,970.85 × 809,193,313.90
  4. Step 4: Simplify right side
    809,193,313.90x = 982,190,728,890,695,808
  5. Step 5: Solve for x
    x = 982,190,728,890,695,808/809,193,313.90
  6. Step 6: Final answer
    x = 1,213,789,970.85

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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.