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Finding the Fourth Proportional to 316,957,241.50, 475,468,474.50 and 109,695,288.40

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Solution

The fourth proportional to 316,957,241.50, 475,468,474.50 and 109,695,288.40 is: 164,554,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,957,241.50 : 475,468,474.50 = 109,695,288.40 : x
  2. Step 2: Convert to fraction form
    316,957,241.50/475,468,474.50 = 109,695,288.40/x
  3. Step 3: Cross multiply
    316,957,241.50x = 475,468,474.50 × 109,695,288.40
  4. Step 4: Simplify right side
    316,957,241.50x = 52,156,651,435,385,552
  5. Step 5: Solve for x
    x = 52,156,651,435,385,552/316,957,241.50
  6. Step 6: Final answer
    x = 164,554,219.33

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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.