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Finding the Fourth Proportional to 344,224,584, 475,029,937.44 and 189,699,912

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Solution

The fourth proportional to 344,224,584, 475,029,937.44 and 189,699,912 is: 261,785,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,224,584 : 475,029,937.44 = 189,699,912 : x
  2. Step 2: Convert to fraction form
    344,224,584/475,029,937.44 = 189,699,912/x
  3. Step 3: Cross multiply
    344,224,584x = 475,029,937.44 × 189,699,912
  4. Step 4: Simplify right side
    344,224,584x = 90,113,137,329,733,504
  5. Step 5: Solve for x
    x = 90,113,137,329,733,504/344,224,584
  6. Step 6: Final answer
    x = 261,785,884.91

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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.