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Finding the Fourth Proportional to 775,737,176.40, 1,163,605,764.60 and 775,737,176.40

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Solution

The fourth proportional to 775,737,176.40, 1,163,605,764.60 and 775,737,176.40 is: 1,163,605,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,737,176.40 : 1,163,605,764.60 = 775,737,176.40 : x
  2. Step 2: Convert to fraction form
    775,737,176.40/1,163,605,764.60 = 775,737,176.40/x
  3. Step 3: Cross multiply
    775,737,176.40x = 1,163,605,764.60 × 775,737,176.40
  4. Step 4: Simplify right side
    775,737,176.40x = 902,652,250,273,566,976
  5. Step 5: Solve for x
    x = 902,652,250,273,566,976/775,737,176.40
  6. Step 6: Final answer
    x = 1,163,605,764.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.