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Finding the Fourth Proportional to 552,765,147,930.30, 829,147,721,895.45 and 552,765,147,930.30

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Solution

The fourth proportional to 552,765,147,930.30, 829,147,721,895.45 and 552,765,147,930.30 is: 829,147,721,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,765,147,930.30 : 829,147,721,895.45 = 552,765,147,930.30 : x
  2. Step 2: Convert to fraction form
    552,765,147,930.30/829,147,721,895.45 = 552,765,147,930.30/x
  3. Step 3: Cross multiply
    552,765,147,930.30x = 829,147,721,895.45 × 552,765,147,930.30
  4. Step 4: Simplify right side
    552,765,147,930.30x = 458,323,963,149,609,680,764,928
  5. Step 5: Solve for x
    x = 458,323,963,149,609,680,764,928/552,765,147,930.30
  6. Step 6: Final answer
    x = 829,147,721,895.45

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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.