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Finding the Fourth Proportional to 411,265,502.23, 616,899,696.78 and 104,557,647.91

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Solution

The fourth proportional to 411,265,502.23, 616,899,696.78 and 104,557,647.91 is: 156,836,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,265,502.23 : 616,899,696.78 = 104,557,647.91 : x
  2. Step 2: Convert to fraction form
    411,265,502.23/616,899,696.78 = 104,557,647.91/x
  3. Step 3: Cross multiply
    411,265,502.23x = 616,899,696.78 × 104,557,647.91
  4. Step 4: Simplify right side
    411,265,502.23x = 64,501,581,291,708,992
  5. Step 5: Solve for x
    x = 64,501,581,291,708,992/411,265,502.23
  6. Step 6: Final answer
    x = 156,836,838.84

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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.