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Finding the Fourth Proportional to 301,865,614.38, 416,572,043.94 and 169,707,200.22

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Solution

The fourth proportional to 301,865,614.38, 416,572,043.94 and 169,707,200.22 is: 234,194,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,865,614.38 : 416,572,043.94 = 169,707,200.22 : x
  2. Step 2: Convert to fraction form
    301,865,614.38/416,572,043.94 = 169,707,200.22/x
  3. Step 3: Cross multiply
    301,865,614.38x = 416,572,043.94 × 169,707,200.22
  4. Step 4: Simplify right side
    301,865,614.38x = 70,695,275,266,980,216
  5. Step 5: Solve for x
    x = 70,695,275,266,980,216/301,865,614.38
  6. Step 6: Final answer
    x = 234,194,528.62

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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.