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Finding the Fourth Proportional to 154,400,471,383.80, 231,600,707,075.70 and 154,400,471,383.80

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Solution

The fourth proportional to 154,400,471,383.80, 231,600,707,075.70 and 154,400,471,383.80 is: 231,600,707,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,400,471,383.80 : 231,600,707,075.70 = 154,400,471,383.80 : x
  2. Step 2: Convert to fraction form
    154,400,471,383.80/231,600,707,075.70 = 154,400,471,383.80/x
  3. Step 3: Cross multiply
    154,400,471,383.80x = 231,600,707,075.70 × 154,400,471,383.80
  4. Step 4: Simplify right side
    154,400,471,383.80x = 35,759,258,345,309,462,331,392
  5. Step 5: Solve for x
    x = 35,759,258,345,309,462,331,392/154,400,471,383.80
  6. Step 6: Final answer
    x = 231,600,707,075.70

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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.