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Finding the Fourth Proportional to 294,781,633.97, 441,939,468.04 and 147,153,427.43

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Solution

The fourth proportional to 294,781,633.97, 441,939,468.04 and 147,153,427.43 is: 220,613,837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,781,633.97 : 441,939,468.04 = 147,153,427.43 : x
  2. Step 2: Convert to fraction form
    294,781,633.97/441,939,468.04 = 147,153,427.43/x
  3. Step 3: Cross multiply
    294,781,633.97x = 441,939,468.04 × 147,153,427.43
  4. Step 4: Simplify right side
    294,781,633.97x = 65,032,907,438,676,952
  5. Step 5: Solve for x
    x = 65,032,907,438,676,952/294,781,633.97
  6. Step 6: Final answer
    x = 220,613,837.31

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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.