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Finding the Fourth Proportional to 226,741,082,938.60, 340,111,624,407.90 and 226,741,082,938.60

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Solution

The fourth proportional to 226,741,082,938.60, 340,111,624,407.90 and 226,741,082,938.60 is: 340,111,624,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,741,082,938.60 : 340,111,624,407.90 = 226,741,082,938.60 : x
  2. Step 2: Convert to fraction form
    226,741,082,938.60/340,111,624,407.90 = 226,741,082,938.60/x
  3. Step 3: Cross multiply
    226,741,082,938.60x = 340,111,624,407.90 × 226,741,082,938.60
  4. Step 4: Simplify right side
    226,741,082,938.60x = 77,117,278,038,253,639,827,456
  5. Step 5: Solve for x
    x = 77,117,278,038,253,639,827,456/226,741,082,938.60
  6. Step 6: Final answer
    x = 340,111,624,407.90

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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.