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Finding the Fourth Proportional to 565,512,273,906.10, 848,268,410,859.15 and 565,512,273,906.10

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Solution

The fourth proportional to 565,512,273,906.10, 848,268,410,859.15 and 565,512,273,906.10 is: 848,268,410,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,512,273,906.10 : 848,268,410,859.15 = 565,512,273,906.10 : x
  2. Step 2: Convert to fraction form
    565,512,273,906.10/848,268,410,859.15 = 565,512,273,906.10/x
  3. Step 3: Cross multiply
    565,512,273,906.10x = 848,268,410,859.15 × 565,512,273,906.10
  4. Step 4: Simplify right side
    565,512,273,906.10x = 479,706,197,907,671,814,766,592
  5. Step 5: Solve for x
    x = 479,706,197,907,671,814,766,592/565,512,273,906.10
  6. Step 6: Final answer
    x = 848,268,410,859.15

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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.