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Finding the Fourth Proportional to 308,800,942,772.10, 463,201,414,158.14 and 308,800,942,772.10

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Solution

The fourth proportional to 308,800,942,772.10, 463,201,414,158.14 and 308,800,942,772.10 is: 463,201,414,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,800,942,772.10 : 463,201,414,158.14 = 308,800,942,772.10 : x
  2. Step 2: Convert to fraction form
    308,800,942,772.10/463,201,414,158.14 = 308,800,942,772.10/x
  3. Step 3: Cross multiply
    308,800,942,772.10x = 463,201,414,158.14 × 308,800,942,772.10
  4. Step 4: Simplify right side
    308,800,942,772.10x = 143,037,033,385,403,581,726,720
  5. Step 5: Solve for x
    x = 143,037,033,385,403,581,726,720/308,800,942,772.10
  6. Step 6: Final answer
    x = 463,201,414,158.14

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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.