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Finding the Fourth Proportional to 192,777,216,216.40, 289,165,824,324.60 and 192,777,216,216.40

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Solution

The fourth proportional to 192,777,216,216.40, 289,165,824,324.60 and 192,777,216,216.40 is: 289,165,824,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,777,216,216.40 : 289,165,824,324.60 = 192,777,216,216.40 : x
  2. Step 2: Convert to fraction form
    192,777,216,216.40/289,165,824,324.60 = 192,777,216,216.40/x
  3. Step 3: Cross multiply
    192,777,216,216.40x = 289,165,824,324.60 × 192,777,216,216.40
  4. Step 4: Simplify right side
    192,777,216,216.40x = 55,744,582,638,216,943,763,456
  5. Step 5: Solve for x
    x = 55,744,582,638,216,943,763,456/192,777,216,216.40
  6. Step 6: Final answer
    x = 289,165,824,324.60

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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.