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Finding the Fourth Proportional to 552,765,222,002.30, 829,147,833,003.48 and 552,765,222,002.30

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Solution

The fourth proportional to 552,765,222,002.30, 829,147,833,003.48 and 552,765,222,002.30 is: 829,147,833,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,765,222,002.30 : 829,147,833,003.48 = 552,765,222,002.30 : x
  2. Step 2: Convert to fraction form
    552,765,222,002.30/829,147,833,003.48 = 552,765,222,002.30/x
  3. Step 3: Cross multiply
    552,765,222,002.30x = 829,147,833,003.48 × 552,765,222,002.30
  4. Step 4: Simplify right side
    552,765,222,002.30x = 458,324,085,982,894,630,109,184
  5. Step 5: Solve for x
    x = 458,324,085,982,894,630,109,184/552,765,222,002.30
  6. Step 6: Final answer
    x = 829,147,833,003.48

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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.