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Finding the Fourth Proportional to 301,776,859.14, 416,455,768.14 and 182,697,833.82

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Solution

The fourth proportional to 301,776,859.14, 416,455,768.14 and 182,697,833.82 is: 252,125,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,776,859.14 : 416,455,768.14 = 182,697,833.82 : x
  2. Step 2: Convert to fraction form
    301,776,859.14/416,455,768.14 = 182,697,833.82/x
  3. Step 3: Cross multiply
    301,776,859.14x = 416,455,768.14 × 182,697,833.82
  4. Step 4: Simplify right side
    301,776,859.14x = 76,085,566,721,022,160
  5. Step 5: Solve for x
    x = 76,085,566,721,022,160/301,776,859.14
  6. Step 6: Final answer
    x = 252,125,252.21

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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.