Home / 468,407,011,182.97-646,163,780,021.20-305,921,768,476.24

Finding the Fourth Proportional to 468,407,011,182.97, 646,163,780,021.20 and 305,921,768,476.24

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Solution

The fourth proportional to 468,407,011,182.97, 646,163,780,021.20 and 305,921,768,476.24 is: 422,016,668,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,407,011,182.97 : 646,163,780,021.20 = 305,921,768,476.24 : x
  2. Step 2: Convert to fraction form
    468,407,011,182.97/646,163,780,021.20 = 305,921,768,476.24/x
  3. Step 3: Cross multiply
    468,407,011,182.97x = 646,163,780,021.20 × 305,921,768,476.24
  4. Step 4: Simplify right side
    468,407,011,182.97x = 197,675,566,309,377,589,641,216
  5. Step 5: Solve for x
    x = 197,675,566,309,377,589,641,216/468,407,011,182.97
  6. Step 6: Final answer
    x = 422,016,668,388.77

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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.