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Finding the Fourth Proportional to 1,072,128,032.80, 1,608,192,049.20 and 1,072,128,032.80

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Solution

The fourth proportional to 1,072,128,032.80, 1,608,192,049.20 and 1,072,128,032.80 is: 1,608,192,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,128,032.80 : 1,608,192,049.20 = 1,072,128,032.80 : x
  2. Step 2: Convert to fraction form
    1,072,128,032.80/1,608,192,049.20 = 1,072,128,032.80/x
  3. Step 3: Cross multiply
    1,072,128,032.80x = 1,608,192,049.20 × 1,072,128,032.80
  4. Step 4: Simplify right side
    1,072,128,032.80x = 1,724,187,778,073,396,736
  5. Step 5: Solve for x
    x = 1,724,187,778,073,396,736/1,072,128,032.80
  6. Step 6: Final answer
    x = 1,608,192,049.20

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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.