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Finding the Fourth Proportional to 413,952,042.40, 620,840,972.40 and 209,287,722.40

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Solution

The fourth proportional to 413,952,042.40, 620,840,972.40 and 209,287,722.40 is: 313,887,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,952,042.40 : 620,840,972.40 = 209,287,722.40 : x
  2. Step 2: Convert to fraction form
    413,952,042.40/620,840,972.40 = 209,287,722.40/x
  3. Step 3: Cross multiply
    413,952,042.40x = 620,840,972.40 × 209,287,722.40
  4. Step 4: Simplify right side
    413,952,042.40x = 129,934,393,086,197,264
  5. Step 5: Solve for x
    x = 129,934,393,086,197,264/413,952,042.40
  6. Step 6: Final answer
    x = 313,887,551.64

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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.