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Finding the Fourth Proportional to 539,006,620.80, 806,998,276.80 and 523,890,076.80

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Solution

The fourth proportional to 539,006,620.80, 806,998,276.80 and 523,890,076.80 is: 784,365,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,006,620.80 : 806,998,276.80 = 523,890,076.80 : x
  2. Step 2: Convert to fraction form
    539,006,620.80/806,998,276.80 = 523,890,076.80/x
  3. Step 3: Cross multiply
    539,006,620.80x = 806,998,276.80 × 523,890,076.80
  4. Step 4: Simplify right side
    539,006,620.80x = 422,778,389,210,219,648
  5. Step 5: Solve for x
    x = 422,778,389,210,219,648/539,006,620.80
  6. Step 6: Final answer
    x = 784,365,855.44

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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.