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Finding the Fourth Proportional to 493,177,260,608.70, 739,765,890,913.05 and 493,177,260,608.70

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Solution

The fourth proportional to 493,177,260,608.70, 739,765,890,913.05 and 493,177,260,608.70 is: 739,765,890,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,177,260,608.70 : 739,765,890,913.05 = 493,177,260,608.70 : x
  2. Step 2: Convert to fraction form
    493,177,260,608.70/739,765,890,913.05 = 493,177,260,608.70/x
  3. Step 3: Cross multiply
    493,177,260,608.70x = 739,765,890,913.05 × 493,177,260,608.70
  4. Step 4: Simplify right side
    493,177,260,608.70x = 364,835,715,572,252,431,876,096
  5. Step 5: Solve for x
    x = 364,835,715,572,252,431,876,096/493,177,260,608.70
  6. Step 6: Final answer
    x = 739,765,890,913.05

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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.