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Finding the Fourth Proportional to 539,006,608.80, 806,998,258.80 and 523,890,064.80

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Solution

The fourth proportional to 539,006,608.80, 806,998,258.80 and 523,890,064.80 is: 784,365,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,006,608.80 : 806,998,258.80 = 523,890,064.80 : x
  2. Step 2: Convert to fraction form
    539,006,608.80/806,998,258.80 = 523,890,064.80/x
  3. Step 3: Cross multiply
    539,006,608.80x = 806,998,258.80 × 523,890,064.80
  4. Step 4: Simplify right side
    539,006,608.80x = 422,778,370,096,219,136
  5. Step 5: Solve for x
    x = 422,778,370,096,219,136/539,006,608.80
  6. Step 6: Final answer
    x = 784,365,837.44

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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.