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Finding the Fourth Proportional to 534,747,745,087.56, 802,121,617,631.31 and 534,747,745,087.56

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Solution

The fourth proportional to 534,747,745,087.56, 802,121,617,631.31 and 534,747,745,087.56 is: 802,121,617,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,747,745,087.56 : 802,121,617,631.31 = 534,747,745,087.56 : x
  2. Step 2: Convert to fraction form
    534,747,745,087.56/802,121,617,631.31 = 534,747,745,087.56/x
  3. Step 3: Cross multiply
    534,747,745,087.56x = 802,121,617,631.31 × 534,747,745,087.56
  4. Step 4: Simplify right side
    534,747,745,087.56x = 428,932,726,314,329,085,837,312
  5. Step 5: Solve for x
    x = 428,932,726,314,329,085,837,312/534,747,745,087.56
  6. Step 6: Final answer
    x = 802,121,617,631.31

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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.