Home / 468,407,011,182.16-646,163,780,020.10-305,921,768,475.44

Finding the Fourth Proportional to 468,407,011,182.16, 646,163,780,020.10 and 305,921,768,475.44

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Solution

The fourth proportional to 468,407,011,182.16, 646,163,780,020.10 and 305,921,768,475.44 is: 422,016,668,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,407,011,182.16 : 646,163,780,020.10 = 305,921,768,475.44 : x
  2. Step 2: Convert to fraction form
    468,407,011,182.16/646,163,780,020.10 = 305,921,768,475.44/x
  3. Step 3: Cross multiply
    468,407,011,182.16x = 646,163,780,020.10 × 305,921,768,475.44
  4. Step 4: Simplify right side
    468,407,011,182.16x = 197,675,566,308,524,166,217,728
  5. Step 5: Solve for x
    x = 197,675,566,308,524,166,217,728/468,407,011,182.16
  6. Step 6: Final answer
    x = 422,016,668,387.68

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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.