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Finding the Fourth Proportional to 180,873,610,375.80, 271,310,415,563.70 and 180,873,610,375.80

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Solution

The fourth proportional to 180,873,610,375.80, 271,310,415,563.70 and 180,873,610,375.80 is: 271,310,415,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,873,610,375.80 : 271,310,415,563.70 = 180,873,610,375.80 : x
  2. Step 2: Convert to fraction form
    180,873,610,375.80/271,310,415,563.70 = 180,873,610,375.80/x
  3. Step 3: Cross multiply
    180,873,610,375.80x = 271,310,415,563.70 × 180,873,610,375.80
  4. Step 4: Simplify right side
    180,873,610,375.80x = 49,072,894,395,565,054,361,600
  5. Step 5: Solve for x
    x = 49,072,894,395,565,054,361,600/180,873,610,375.80
  6. Step 6: Final answer
    x = 271,310,415,563.70

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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.