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Finding the Fourth Proportional to 264,224,712,761.70, 396,337,069,142.55 and 264,224,712,761.70

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Solution

The fourth proportional to 264,224,712,761.70, 396,337,069,142.55 and 264,224,712,761.70 is: 396,337,069,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,712,761.70 : 396,337,069,142.55 = 264,224,712,761.70 : x
  2. Step 2: Convert to fraction form
    264,224,712,761.70/396,337,069,142.55 = 264,224,712,761.70/x
  3. Step 3: Cross multiply
    264,224,712,761.70x = 396,337,069,142.55 × 264,224,712,761.70
  4. Step 4: Simplify right side
    264,224,712,761.70x = 104,722,048,251,004,310,257,664
  5. Step 5: Solve for x
    x = 104,722,048,251,004,310,257,664/264,224,712,761.70
  6. Step 6: Final answer
    x = 396,337,069,142.55

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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.