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Finding the Fourth Proportional to 299,005,324.80, 448,633,958.40 and 162,788,467.20

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Solution

The fourth proportional to 299,005,324.80, 448,633,958.40 and 162,788,467.20 is: 244,251,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,005,324.80 : 448,633,958.40 = 162,788,467.20 : x
  2. Step 2: Convert to fraction form
    299,005,324.80/448,633,958.40 = 162,788,467.20/x
  3. Step 3: Cross multiply
    299,005,324.80x = 448,633,958.40 × 162,788,467.20
  4. Step 4: Simplify right side
    299,005,324.80x = 73,032,434,421,804,560
  5. Step 5: Solve for x
    x = 73,032,434,421,804,560/299,005,324.80
  6. Step 6: Final answer
    x = 244,251,283.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.