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Finding the Fourth Proportional to 208,074,916.80, 312,017,896.80 and 78,639,508.80

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Solution

The fourth proportional to 208,074,916.80, 312,017,896.80 and 78,639,508.80 is: 117,923,556.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,074,916.80 : 312,017,896.80 = 78,639,508.80 : x
  2. Step 2: Convert to fraction form
    208,074,916.80/312,017,896.80 = 78,639,508.80/x
  3. Step 3: Cross multiply
    208,074,916.80x = 312,017,896.80 × 78,639,508.80
  4. Step 4: Simplify right side
    208,074,916.80x = 24,536,934,141,161,092
  5. Step 5: Solve for x
    x = 24,536,934,141,161,092/208,074,916.80
  6. Step 6: Final answer
    x = 117,923,556.18

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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.