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Finding the Fourth Proportional to 323,843,266.41, 485,764,505.95 and 105,493,252.02

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Solution

The fourth proportional to 323,843,266.41, 485,764,505.95 and 105,493,252.02 is: 158,239,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,843,266.41 : 485,764,505.95 = 105,493,252.02 : x
  2. Step 2: Convert to fraction form
    323,843,266.41/485,764,505.95 = 105,493,252.02/x
  3. Step 3: Cross multiply
    323,843,266.41x = 485,764,505.95 × 105,493,252.02
  4. Step 4: Simplify right side
    323,843,266.41x = 51,244,877,448,554,136
  5. Step 5: Solve for x
    x = 51,244,877,448,554,136/323,843,266.41
  6. Step 6: Final answer
    x = 158,239,749.79

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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.