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Finding the Fourth Proportional to 2,980,481,855,999.80, 4,470,722,783,999.80 and 2,980,481,855,999.80

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Solution

The fourth proportional to 2,980,481,855,999.80, 4,470,722,783,999.80 and 2,980,481,855,999.80 is: 4,470,722,783,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980,481,855,999.80 : 4,470,722,783,999.80 = 2,980,481,855,999.80 : x
  2. Step 2: Convert to fraction form
    2,980,481,855,999.80/4,470,722,783,999.80 = 2,980,481,855,999.80/x
  3. Step 3: Cross multiply
    2,980,481,855,999.80x = 4,470,722,783,999.80 × 2,980,481,855,999.80
  4. Step 4: Simplify right side
    2,980,481,855,999.80x = 13,324,908,140,916,315,120,467,968
  5. Step 5: Solve for x
    x = 13,324,908,140,916,315,120,467,968/2,980,481,855,999.80
  6. Step 6: Final answer
    x = 4,470,722,783,999.80

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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.