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Finding the Fourth Proportional to 320,792,595,763.60, 481,188,893,645.40 and 320,792,595,763.60

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Solution

The fourth proportional to 320,792,595,763.60, 481,188,893,645.40 and 320,792,595,763.60 is: 481,188,893,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,792,595,763.60 : 481,188,893,645.40 = 320,792,595,763.60 : x
  2. Step 2: Convert to fraction form
    320,792,595,763.60/481,188,893,645.40 = 320,792,595,763.60/x
  3. Step 3: Cross multiply
    320,792,595,763.60x = 481,188,893,645.40 × 320,792,595,763.60
  4. Step 4: Simplify right side
    320,792,595,763.60x = 154,361,834,245,122,726,821,888
  5. Step 5: Solve for x
    x = 154,361,834,245,122,726,821,888/320,792,595,763.60
  6. Step 6: Final answer
    x = 481,188,893,645.40

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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.