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Finding the Fourth Proportional to 565,764,558,448.20, 848,646,837,672.30 and 565,764,558,448.20

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Solution

The fourth proportional to 565,764,558,448.20, 848,646,837,672.30 and 565,764,558,448.20 is: 848,646,837,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,764,558,448.20 : 848,646,837,672.30 = 565,764,558,448.20 : x
  2. Step 2: Convert to fraction form
    565,764,558,448.20/848,646,837,672.30 = 565,764,558,448.20/x
  3. Step 3: Cross multiply
    565,764,558,448.20x = 848,646,837,672.30 × 565,764,558,448.20
  4. Step 4: Simplify right side
    565,764,558,448.20x = 480,134,303,394,130,068,242,432
  5. Step 5: Solve for x
    x = 480,134,303,394,130,068,242,432/565,764,558,448.20
  6. Step 6: Final answer
    x = 848,646,837,672.30

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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.