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Finding the Fourth Proportional to 264,224,772,505.20, 396,337,158,757.80 and 264,224,772,505.20

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Solution

The fourth proportional to 264,224,772,505.20, 396,337,158,757.80 and 264,224,772,505.20 is: 396,337,158,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,772,505.20 : 396,337,158,757.80 = 264,224,772,505.20 : x
  2. Step 2: Convert to fraction form
    264,224,772,505.20/396,337,158,757.80 = 264,224,772,505.20/x
  3. Step 3: Cross multiply
    264,224,772,505.20x = 396,337,158,757.80 × 264,224,772,505.20
  4. Step 4: Simplify right side
    264,224,772,505.20x = 104,722,095,608,137,041,051,648
  5. Step 5: Solve for x
    x = 104,722,095,608,137,041,051,648/264,224,772,505.20
  6. Step 6: Final answer
    x = 396,337,158,757.80

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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.