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Finding the Fourth Proportional to 271,517,143,571.02, 407,275,715,356.53 and 271,517,143,571.02

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Solution

The fourth proportional to 271,517,143,571.02, 407,275,715,356.53 and 271,517,143,571.02 is: 407,275,715,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,517,143,571.02 : 407,275,715,356.53 = 271,517,143,571.02 : x
  2. Step 2: Convert to fraction form
    271,517,143,571.02/407,275,715,356.53 = 271,517,143,571.02/x
  3. Step 3: Cross multiply
    271,517,143,571.02x = 407,275,715,356.53 × 271,517,143,571.02
  4. Step 4: Simplify right side
    271,517,143,571.02x = 110,582,338,879,448,841,977,856
  5. Step 5: Solve for x
    x = 110,582,338,879,448,841,977,856/271,517,143,571.02
  6. Step 6: Final answer
    x = 407,275,715,356.53

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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.