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Finding the Fourth Proportional to 2,414,481,714.80, 3,621,722,572.20 and 2,414,481,714.80

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Solution

The fourth proportional to 2,414,481,714.80, 3,621,722,572.20 and 2,414,481,714.80 is: 3,621,722,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,481,714.80 : 3,621,722,572.20 = 2,414,481,714.80 : x
  2. Step 2: Convert to fraction form
    2,414,481,714.80/3,621,722,572.20 = 2,414,481,714.80/x
  3. Step 3: Cross multiply
    2,414,481,714.80x = 3,621,722,572.20 × 2,414,481,714.80
  4. Step 4: Simplify right side
    2,414,481,714.80x = 8,744,582,926,655,323,136
  5. Step 5: Solve for x
    x = 8,744,582,926,655,323,136/2,414,481,714.80
  6. Step 6: Final answer
    x = 3,621,722,572.20

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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.