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Finding the Fourth Proportional to 962,993,169.57, 1,328,930,766.74 and 586,649,737.67

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Solution

The fourth proportional to 962,993,169.57, 1,328,930,766.74 and 586,649,737.67 is: 809,576,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,993,169.57 : 1,328,930,766.74 = 586,649,737.67 : x
  2. Step 2: Convert to fraction form
    962,993,169.57/1,328,930,766.74 = 586,649,737.67/x
  3. Step 3: Cross multiply
    962,993,169.57x = 1,328,930,766.74 × 586,649,737.67
  4. Step 4: Simplify right side
    962,993,169.57x = 779,616,885,680,034,944
  5. Step 5: Solve for x
    x = 779,616,885,680,034,944/962,993,169.57
  6. Step 6: Final answer
    x = 809,576,755.39

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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.