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Finding the Fourth Proportional to 519,395,160,400.80, 779,092,740,601.26 and 519,395,160,400.80

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Solution

The fourth proportional to 519,395,160,400.80, 779,092,740,601.26 and 519,395,160,400.80 is: 779,092,740,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,395,160,400.80 : 779,092,740,601.26 = 519,395,160,400.80 : x
  2. Step 2: Convert to fraction form
    519,395,160,400.80/779,092,740,601.26 = 519,395,160,400.80/x
  3. Step 3: Cross multiply
    519,395,160,400.80x = 779,092,740,601.26 × 519,395,160,400.80
  4. Step 4: Simplify right side
    519,395,160,400.80x = 404,656,998,971,690,270,588,928
  5. Step 5: Solve for x
    x = 404,656,998,971,690,270,588,928/519,395,160,400.80
  6. Step 6: Final answer
    x = 779,092,740,601.26

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1.5x scale

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.