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Finding the Fourth Proportional to 158,466,313,266.60, 237,699,469,899.90 and 158,466,313,266.60

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Solution

The fourth proportional to 158,466,313,266.60, 237,699,469,899.90 and 158,466,313,266.60 is: 237,699,469,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,466,313,266.60 : 237,699,469,899.90 = 158,466,313,266.60 : x
  2. Step 2: Convert to fraction form
    158,466,313,266.60/237,699,469,899.90 = 158,466,313,266.60/x
  3. Step 3: Cross multiply
    158,466,313,266.60x = 237,699,469,899.90 × 158,466,313,266.60
  4. Step 4: Simplify right side
    158,466,313,266.60x = 37,667,358,660,462,311,899,136
  5. Step 5: Solve for x
    x = 37,667,358,660,462,311,899,136/158,466,313,266.60
  6. Step 6: Final answer
    x = 237,699,469,899.90

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1.5x scale

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.