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Finding the Fourth Proportional to 180,800,832,003.30, 271,201,248,004.95 and 180,800,832,003.30

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Solution

The fourth proportional to 180,800,832,003.30, 271,201,248,004.95 and 180,800,832,003.30 is: 271,201,248,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,800,832,003.30 : 271,201,248,004.95 = 180,800,832,003.30 : x
  2. Step 2: Convert to fraction form
    180,800,832,003.30/271,201,248,004.95 = 180,800,832,003.30/x
  3. Step 3: Cross multiply
    180,800,832,003.30x = 271,201,248,004.95 × 180,800,832,003.30
  4. Step 4: Simplify right side
    180,800,832,003.30x = 49,033,411,279,628,263,227,392
  5. Step 5: Solve for x
    x = 49,033,411,279,628,263,227,392/180,800,832,003.30
  6. Step 6: Final answer
    x = 271,201,248,004.95

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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.