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Finding the Fourth Proportional to 303,429,793.38, 418,733,115.40 and 164,200,555.08

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Solution

The fourth proportional to 303,429,793.38, 418,733,115.40 and 164,200,555.08 is: 226,596,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,429,793.38 : 418,733,115.40 = 164,200,555.08 : x
  2. Step 2: Convert to fraction form
    303,429,793.38/418,733,115.40 = 164,200,555.08/x
  3. Step 3: Cross multiply
    303,429,793.38x = 418,733,115.40 × 164,200,555.08
  4. Step 4: Simplify right side
    303,429,793.38x = 68,756,209,979,057,696
  5. Step 5: Solve for x
    x = 68,756,209,979,057,696/303,429,793.38
  6. Step 6: Final answer
    x = 226,596,766.30

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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.