Home / 290,016,223,382.09-400,204,355,278.85-159,797,790,814.95

Finding the Fourth Proportional to 290,016,223,382.09, 400,204,355,278.85 and 159,797,790,814.95

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Solution

The fourth proportional to 290,016,223,382.09, 400,204,355,278.85 and 159,797,790,814.95 is: 220,511,015,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,016,223,382.09 : 400,204,355,278.85 = 159,797,790,814.95 : x
  2. Step 2: Convert to fraction form
    290,016,223,382.09/400,204,355,278.85 = 159,797,790,814.95/x
  3. Step 3: Cross multiply
    290,016,223,382.09x = 400,204,355,278.85 × 159,797,790,814.95
  4. Step 4: Simplify right side
    290,016,223,382.09x = 63,951,771,848,081,605,132,288
  5. Step 5: Solve for x
    x = 63,951,771,848,081,605,132,288/290,016,223,382.09
  6. Step 6: Final answer
    x = 220,511,015,219.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.