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Finding the Fourth Proportional to 226,741,082,822.60, 340,111,624,233.90 and 226,741,082,822.60

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Solution

The fourth proportional to 226,741,082,822.60, 340,111,624,233.90 and 226,741,082,822.60 is: 340,111,624,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,741,082,822.60 : 340,111,624,233.90 = 226,741,082,822.60 : x
  2. Step 2: Convert to fraction form
    226,741,082,822.60/340,111,624,233.90 = 226,741,082,822.60/x
  3. Step 3: Cross multiply
    226,741,082,822.60x = 340,111,624,233.90 × 226,741,082,822.60
  4. Step 4: Simplify right side
    226,741,082,822.60x = 77,117,277,959,347,742,179,328
  5. Step 5: Solve for x
    x = 77,117,277,959,347,742,179,328/226,741,082,822.60
  6. Step 6: Final answer
    x = 340,111,624,233.90

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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.