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Finding the Fourth Proportional to 412,770,491.41, 569,606,086.36 and 224,599,524.25

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Solution

The fourth proportional to 412,770,491.41, 569,606,086.36 and 224,599,524.25 is: 309,937,988.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,770,491.41 : 569,606,086.36 = 224,599,524.25 : x
  2. Step 2: Convert to fraction form
    412,770,491.41/569,606,086.36 = 224,599,524.25/x
  3. Step 3: Cross multiply
    412,770,491.41x = 569,606,086.36 × 224,599,524.25
  4. Step 4: Simplify right side
    412,770,491.41x = 127,933,256,005,798,912
  5. Step 5: Solve for x
    x = 127,933,256,005,798,912/412,770,491.41
  6. Step 6: Final answer
    x = 309,937,988.95

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