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Finding the Fourth Proportional to 6,720,678,049.20, 10,061,646,049.34 and 6,720,678,049.20

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Solution

The fourth proportional to 6,720,678,049.20, 10,061,646,049.34 and 6,720,678,049.20 is: 10,061,646,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720,678,049.20 : 10,061,646,049.34 = 6,720,678,049.20 : x
  2. Step 2: Convert to fraction form
    6,720,678,049.20/10,061,646,049.34 = 6,720,678,049.20/x
  3. Step 3: Cross multiply
    6,720,678,049.20x = 10,061,646,049.34 × 6,720,678,049.20
  4. Step 4: Simplify right side
    6,720,678,049.20x = 67,621,083,742,585,626,624
  5. Step 5: Solve for x
    x = 67,621,083,742,585,626,624/6,720,678,049.20
  6. Step 6: Final answer
    x = 10,061,646,049.34

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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.