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Finding the Fourth Proportional to 644,004,010.15, 966,006,015.23 and 644,004,010.15

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Solution

The fourth proportional to 644,004,010.15, 966,006,015.23 and 644,004,010.15 is: 966,006,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,004,010.15 : 966,006,015.23 = 644,004,010.15 : x
  2. Step 2: Convert to fraction form
    644,004,010.15/966,006,015.23 = 644,004,010.15/x
  3. Step 3: Cross multiply
    644,004,010.15x = 966,006,015.23 × 644,004,010.15
  4. Step 4: Simplify right side
    644,004,010.15x = 622,111,747,633,921,920
  5. Step 5: Solve for x
    x = 622,111,747,633,921,920/644,004,010.15
  6. Step 6: Final answer
    x = 966,006,015.23

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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.