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Finding the Fourth Proportional to 565,512,273,908.10, 848,268,410,862.15 and 565,512,273,908.10

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Solution

The fourth proportional to 565,512,273,908.10, 848,268,410,862.15 and 565,512,273,908.10 is: 848,268,410,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,512,273,908.10 : 848,268,410,862.15 = 565,512,273,908.10 : x
  2. Step 2: Convert to fraction form
    565,512,273,908.10/848,268,410,862.15 = 565,512,273,908.10/x
  3. Step 3: Cross multiply
    565,512,273,908.10x = 848,268,410,862.15 × 565,512,273,908.10
  4. Step 4: Simplify right side
    565,512,273,908.10x = 479,706,197,911,064,906,039,296
  5. Step 5: Solve for x
    x = 479,706,197,911,064,906,039,296/565,512,273,908.10
  6. Step 6: Final answer
    x = 848,268,410,862.15

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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.