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Finding the Fourth Proportional to 393,662,023.80, 590,493,035.70 and 120,997,361.40

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Solution

The fourth proportional to 393,662,023.80, 590,493,035.70 and 120,997,361.40 is: 181,496,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,662,023.80 : 590,493,035.70 = 120,997,361.40 : x
  2. Step 2: Convert to fraction form
    393,662,023.80/590,493,035.70 = 120,997,361.40/x
  3. Step 3: Cross multiply
    393,662,023.80x = 590,493,035.70 × 120,997,361.40
  4. Step 4: Simplify right side
    393,662,023.80x = 71,448,099,244,776,008
  5. Step 5: Solve for x
    x = 71,448,099,244,776,008/393,662,023.80
  6. Step 6: Final answer
    x = 181,496,042.10

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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.