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Finding the Fourth Proportional to 588,867,044.25, 812,625,978.38 and 320,945,289.87

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Solution

The fourth proportional to 588,867,044.25, 812,625,978.38 and 320,945,289.87 is: 442,898,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,867,044.25 : 812,625,978.38 = 320,945,289.87 : x
  2. Step 2: Convert to fraction form
    588,867,044.25/812,625,978.38 = 320,945,289.87/x
  3. Step 3: Cross multiply
    588,867,044.25x = 812,625,978.38 × 320,945,289.87
  4. Step 4: Simplify right side
    588,867,044.25x = 260,808,480,185,456,736
  5. Step 5: Solve for x
    x = 260,808,480,185,456,736/588,867,044.25
  6. Step 6: Final answer
    x = 442,898,754.03

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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.