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Finding the Fourth Proportional to 775,350,969.69, 1,069,987,664.88 and 422,934,640.41

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Solution

The fourth proportional to 775,350,969.69, 1,069,987,664.88 and 422,934,640.41 is: 583,651,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,350,969.69 : 1,069,987,664.88 = 422,934,640.41 : x
  2. Step 2: Convert to fraction form
    775,350,969.69/1,069,987,664.88 = 422,934,640.41/x
  3. Step 3: Cross multiply
    775,350,969.69x = 1,069,987,664.88 × 422,934,640.41
  4. Step 4: Simplify right side
    775,350,969.69x = 452,534,848,289,158,400
  5. Step 5: Solve for x
    x = 452,534,848,289,158,400/775,350,969.69
  6. Step 6: Final answer
    x = 583,651,618.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.