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Finding the Fourth Proportional to 422,852,482.94, 634,302,963.42 and 111,952,020.14

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Solution

The fourth proportional to 422,852,482.94, 634,302,963.42 and 111,952,020.14 is: 167,934,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,852,482.94 : 634,302,963.42 = 111,952,020.14 : x
  2. Step 2: Convert to fraction form
    422,852,482.94/634,302,963.42 = 111,952,020.14/x
  3. Step 3: Cross multiply
    422,852,482.94x = 634,302,963.42 × 111,952,020.14
  4. Step 4: Simplify right side
    422,852,482.94x = 71,011,498,135,657,520
  5. Step 5: Solve for x
    x = 71,011,498,135,657,520/422,852,482.94
  6. Step 6: Final answer
    x = 167,934,447.59

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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.