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Finding the Fourth Proportional to 729,293,952,006.80, 1,093,940,928,010.20 and 729,293,952,006.80

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Solution

The fourth proportional to 729,293,952,006.80, 1,093,940,928,010.20 and 729,293,952,006.80 is: 1,093,940,928,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,293,952,006.80 : 1,093,940,928,010.20 = 729,293,952,006.80 : x
  2. Step 2: Convert to fraction form
    729,293,952,006.80/1,093,940,928,010.20 = 729,293,952,006.80/x
  3. Step 3: Cross multiply
    729,293,952,006.80x = 1,093,940,928,010.20 × 729,293,952,006.80
  4. Step 4: Simplify right side
    729,293,952,006.80x = 797,804,502,650,545,082,728,448
  5. Step 5: Solve for x
    x = 797,804,502,650,545,082,728,448/729,293,952,006.80
  6. Step 6: Final answer
    x = 1,093,940,928,010.20

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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.