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Finding the Fourth Proportional to 326,914,947,127.05, 490,372,420,690.58 and 326,914,947,127.05

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Solution

The fourth proportional to 326,914,947,127.05, 490,372,420,690.58 and 326,914,947,127.05 is: 490,372,420,690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,914,947,127.05 : 490,372,420,690.58 = 326,914,947,127.05 : x
  2. Step 2: Convert to fraction form
    326,914,947,127.05/490,372,420,690.58 = 326,914,947,127.05/x
  3. Step 3: Cross multiply
    326,914,947,127.05x = 490,372,420,690.58 × 326,914,947,127.05
  4. Step 4: Simplify right side
    326,914,947,127.05x = 160,310,073,982,624,466,993,152
  5. Step 5: Solve for x
    x = 160,310,073,982,624,466,993,152/326,914,947,127.05
  6. Step 6: Final answer
    x = 490,372,420,690.58

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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.