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Finding the Fourth Proportional to 836,508,358.65, 1,154,375,154.48 and 460,156,845.27

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Solution

The fourth proportional to 836,508,358.65, 1,154,375,154.48 and 460,156,845.27 is: 635,012,936.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,508,358.65 : 1,154,375,154.48 = 460,156,845.27 : x
  2. Step 2: Convert to fraction form
    836,508,358.65/1,154,375,154.48 = 460,156,845.27/x
  3. Step 3: Cross multiply
    836,508,358.65x = 1,154,375,154.48 × 460,156,845.27
  4. Step 4: Simplify right side
    836,508,358.65x = 531,193,629,343,585,664
  5. Step 5: Solve for x
    x = 531,193,629,343,585,664/836,508,358.65
  6. Step 6: Final answer
    x = 635,012,936.63

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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.