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Finding the Fourth Proportional to 565,764,558,561.70, 848,646,837,842.55 and 565,764,558,561.70

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Solution

The fourth proportional to 565,764,558,561.70, 848,646,837,842.55 and 565,764,558,561.70 is: 848,646,837,842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,764,558,561.70 : 848,646,837,842.55 = 565,764,558,561.70 : x
  2. Step 2: Convert to fraction form
    565,764,558,561.70/848,646,837,842.55 = 565,764,558,561.70/x
  3. Step 3: Cross multiply
    565,764,558,561.70x = 848,646,837,842.55 × 565,764,558,561.70
  4. Step 4: Simplify right side
    565,764,558,561.70x = 480,134,303,586,772,907,458,560
  5. Step 5: Solve for x
    x = 480,134,303,586,772,907,458,560/565,764,558,561.70
  6. Step 6: Final answer
    x = 848,646,837,842.55

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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.