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Finding the Fourth Proportional to 8,281,976,544,000.80, 12,422,964,816,002 and 8,281,976,544,000.80

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Solution

The fourth proportional to 8,281,976,544,000.80, 12,422,964,816,002 and 8,281,976,544,000.80 is: 12,422,964,816,002

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281,976,544,000.80 : 12,422,964,816,002 = 8,281,976,544,000.80 : x
  2. Step 2: Convert to fraction form
    8,281,976,544,000.80/12,422,964,816,002 = 8,281,976,544,000.80/x
  3. Step 3: Cross multiply
    8,281,976,544,000.80x = 12,422,964,816,002 × 8,281,976,544,000.80
  4. Step 4: Simplify right side
    8,281,976,544,000.80x = 102,886,703,213,075,770,059,522,048
  5. Step 5: Solve for x
    x = 102,886,703,213,075,770,059,522,048/8,281,976,544,000.80
  6. Step 6: Final answer
    x = 12,422,964,816,002

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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.