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Finding the Fourth Proportional to 775,861,569.70, 1,163,792,354.55 and 775,861,569.70

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Solution

The fourth proportional to 775,861,569.70, 1,163,792,354.55 and 775,861,569.70 is: 1,163,792,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,861,569.70 : 1,163,792,354.55 = 775,861,569.70 : x
  2. Step 2: Convert to fraction form
    775,861,569.70/1,163,792,354.55 = 775,861,569.70/x
  3. Step 3: Cross multiply
    775,861,569.70x = 1,163,792,354.55 × 775,861,569.70
  4. Step 4: Simplify right side
    775,861,569.70x = 902,941,763,006,022,016
  5. Step 5: Solve for x
    x = 902,941,763,006,022,016/775,861,569.70
  6. Step 6: Final answer
    x = 1,163,792,354.55

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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.