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Finding the Fourth Proportional to 180,800,832,022.80, 271,201,248,034.20 and 180,800,832,022.80

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Solution

The fourth proportional to 180,800,832,022.80, 271,201,248,034.20 and 180,800,832,022.80 is: 271,201,248,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,800,832,022.80 : 271,201,248,034.20 = 180,800,832,022.80 : x
  2. Step 2: Convert to fraction form
    180,800,832,022.80/271,201,248,034.20 = 180,800,832,022.80/x
  3. Step 3: Cross multiply
    180,800,832,022.80x = 271,201,248,034.20 × 180,800,832,022.80
  4. Step 4: Simplify right side
    180,800,832,022.80x = 49,033,411,290,205,115,121,664
  5. Step 5: Solve for x
    x = 49,033,411,290,205,115,121,664/180,800,832,022.80
  6. Step 6: Final answer
    x = 271,201,248,034.20

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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.