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Finding the Fourth Proportional to 464,873,611.69, 641,554,598.24 and 256,029,698.98

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Solution

The fourth proportional to 464,873,611.69, 641,554,598.24 and 256,029,698.98 is: 353,336,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,873,611.69 : 641,554,598.24 = 256,029,698.98 : x
  2. Step 2: Convert to fraction form
    464,873,611.69/641,554,598.24 = 256,029,698.98/x
  3. Step 3: Cross multiply
    464,873,611.69x = 641,554,598.24 × 256,029,698.98
  4. Step 4: Simplify right side
    464,873,611.69x = 164,257,030,666,622,048
  5. Step 5: Solve for x
    x = 164,257,030,666,622,048/464,873,611.69
  6. Step 6: Final answer
    x = 353,336,964.15

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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.