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Finding the Fourth Proportional to 606,431,337.80, 909,647,006.70 and 541,808,112.20

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Solution

The fourth proportional to 606,431,337.80, 909,647,006.70 and 541,808,112.20 is: 812,712,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,431,337.80 : 909,647,006.70 = 541,808,112.20 : x
  2. Step 2: Convert to fraction form
    606,431,337.80/909,647,006.70 = 541,808,112.20/x
  3. Step 3: Cross multiply
    606,431,337.80x = 909,647,006.70 × 541,808,112.20
  4. Step 4: Simplify right side
    606,431,337.80x = 492,854,127,468,507,840
  5. Step 5: Solve for x
    x = 492,854,127,468,507,840/606,431,337.80
  6. Step 6: Final answer
    x = 812,712,168.30

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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.