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Finding the Fourth Proportional to 286,502,109.30, 429,753,163.95 and 286,502,109.30

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Solution

The fourth proportional to 286,502,109.30, 429,753,163.95 and 286,502,109.30 is: 429,753,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,502,109.30 : 429,753,163.95 = 286,502,109.30 : x
  2. Step 2: Convert to fraction form
    286,502,109.30/429,753,163.95 = 286,502,109.30/x
  3. Step 3: Cross multiply
    286,502,109.30x = 429,753,163.95 × 286,502,109.30
  4. Step 4: Simplify right side
    286,502,109.30x = 123,125,187,950,023,728
  5. Step 5: Solve for x
    x = 123,125,187,950,023,728/286,502,109.30
  6. Step 6: Final answer
    x = 429,753,163.95

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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.