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Finding the Fourth Proportional to 12,822,907,647.20, 19,234,361,470.80 and 12,822,907,647.20

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Solution

The fourth proportional to 12,822,907,647.20, 19,234,361,470.80 and 12,822,907,647.20 is: 19,234,361,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822,907,647.20 : 19,234,361,470.80 = 12,822,907,647.20 : x
  2. Step 2: Convert to fraction form
    12,822,907,647.20/19,234,361,470.80 = 12,822,907,647.20/x
  3. Step 3: Cross multiply
    12,822,907,647.20x = 19,234,361,470.80 × 12,822,907,647.20
  4. Step 4: Simplify right side
    12,822,907,647.20x = 246,640,440,792,930,353,152
  5. Step 5: Solve for x
    x = 246,640,440,792,930,353,152/12,822,907,647.20
  6. Step 6: Final answer
    x = 19,234,361,470.80

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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.