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Finding the Fourth Proportional to 422,707,233, 583,340,710.70 and 234,538,933.98

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Solution

The fourth proportional to 422,707,233, 583,340,710.70 and 234,538,933.98 is: 323,666,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,707,233 : 583,340,710.70 = 234,538,933.98 : x
  2. Step 2: Convert to fraction form
    422,707,233/583,340,710.70 = 234,538,933.98/x
  3. Step 3: Cross multiply
    422,707,233x = 583,340,710.70 × 234,538,933.98
  4. Step 4: Simplify right side
    422,707,233x = 136,816,108,434,713,584
  5. Step 5: Solve for x
    x = 136,816,108,434,713,584/422,707,233
  6. Step 6: Final answer
    x = 323,666,352.86

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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.