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Finding the Fourth Proportional to 552,765,222,004.30, 829,147,833,006.48 and 552,765,222,004.30

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Solution

The fourth proportional to 552,765,222,004.30, 829,147,833,006.48 and 552,765,222,004.30 is: 829,147,833,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,765,222,004.30 : 829,147,833,006.48 = 552,765,222,004.30 : x
  2. Step 2: Convert to fraction form
    552,765,222,004.30/829,147,833,006.48 = 552,765,222,004.30/x
  3. Step 3: Cross multiply
    552,765,222,004.30x = 829,147,833,006.48 × 552,765,222,004.30
  4. Step 4: Simplify right side
    552,765,222,004.30x = 458,324,085,986,211,217,276,928
  5. Step 5: Solve for x
    x = 458,324,085,986,211,217,276,928/552,765,222,004.30
  6. Step 6: Final answer
    x = 829,147,833,006.48

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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.