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Finding the Fourth Proportional to 411,734,588,136.73, 617,601,882,205.09 and 411,734,588,136.73

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Solution

The fourth proportional to 411,734,588,136.73, 617,601,882,205.09 and 411,734,588,136.73 is: 617,601,882,205.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,734,588,136.73 : 617,601,882,205.09 = 411,734,588,136.73 : x
  2. Step 2: Convert to fraction form
    411,734,588,136.73/617,601,882,205.09 = 411,734,588,136.73/x
  3. Step 3: Cross multiply
    411,734,588,136.73x = 617,601,882,205.09 × 411,734,588,136.73
  4. Step 4: Simplify right side
    411,734,588,136.73x = 254,288,056,602,181,951,815,680
  5. Step 5: Solve for x
    x = 254,288,056,602,181,951,815,680/411,734,588,136.73
  6. Step 6: Final answer
    x = 617,601,882,205.09

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Double scale
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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.