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Finding the Fourth Proportional to 322,640,509.84, 483,960,026.54 and 138,288,449.27

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Solution

The fourth proportional to 322,640,509.84, 483,960,026.54 and 138,288,449.27 is: 207,432,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,640,509.84 : 483,960,026.54 = 138,288,449.27 : x
  2. Step 2: Convert to fraction form
    322,640,509.84/483,960,026.54 = 138,288,449.27/x
  3. Step 3: Cross multiply
    322,640,509.84x = 483,960,026.54 × 138,288,449.27
  4. Step 4: Simplify right side
    322,640,509.84x = 66,926,081,580,440,272
  5. Step 5: Solve for x
    x = 66,926,081,580,440,272/322,640,509.84
  6. Step 6: Final answer
    x = 207,432,357.50

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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.