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Finding the Fourth Proportional to 702,469,797.54, 969,407,563.26 and 384,937,786.08

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Solution

The fourth proportional to 702,469,797.54, 969,407,563.26 and 384,937,786.08 is: 531,213,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,469,797.54 : 969,407,563.26 = 384,937,786.08 : x
  2. Step 2: Convert to fraction form
    702,469,797.54/969,407,563.26 = 384,937,786.08/x
  3. Step 3: Cross multiply
    702,469,797.54x = 969,407,563.26 × 384,937,786.08
  4. Step 4: Simplify right side
    702,469,797.54x = 373,161,601,210,511,936
  5. Step 5: Solve for x
    x = 373,161,601,210,511,936/702,469,797.54
  6. Step 6: Final answer
    x = 531,213,729.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.