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Finding the Fourth Proportional to 140,858,945,101.20, 211,288,417,651.80 and 140,858,945,101.20

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Solution

The fourth proportional to 140,858,945,101.20, 211,288,417,651.80 and 140,858,945,101.20 is: 211,288,417,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,858,945,101.20 : 211,288,417,651.80 = 140,858,945,101.20 : x
  2. Step 2: Convert to fraction form
    140,858,945,101.20/211,288,417,651.80 = 140,858,945,101.20/x
  3. Step 3: Cross multiply
    140,858,945,101.20x = 211,288,417,651.80 × 140,858,945,101.20
  4. Step 4: Simplify right side
    140,858,945,101.20x = 29,761,863,622,534,314,852,352
  5. Step 5: Solve for x
    x = 29,761,863,622,534,314,852,352/140,858,945,101.20
  6. Step 6: Final answer
    x = 211,288,417,651.80

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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.