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Finding the Fourth Proportional to 559,487,997.80, 839,231,996.70 and 548,738,455.40

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Solution

The fourth proportional to 559,487,997.80, 839,231,996.70 and 548,738,455.40 is: 823,107,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,487,997.80 : 839,231,996.70 = 548,738,455.40 : x
  2. Step 2: Convert to fraction form
    559,487,997.80/839,231,996.70 = 548,738,455.40/x
  3. Step 3: Cross multiply
    559,487,997.80x = 839,231,996.70 × 548,738,455.40
  4. Step 4: Simplify right side
    559,487,997.80x = 460,518,869,591,415,872
  5. Step 5: Solve for x
    x = 460,518,869,591,415,872/559,487,997.80
  6. Step 6: Final answer
    x = 823,107,683.10

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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.