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Finding the Fourth Proportional to 311,930,903.70, 467,896,355.55 and 287,744,433.30

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Solution

The fourth proportional to 311,930,903.70, 467,896,355.55 and 287,744,433.30 is: 431,616,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930,903.70 : 467,896,355.55 = 287,744,433.30 : x
  2. Step 2: Convert to fraction form
    311,930,903.70/467,896,355.55 = 287,744,433.30/x
  3. Step 3: Cross multiply
    311,930,903.70x = 467,896,355.55 × 287,744,433.30
  4. Step 4: Simplify right side
    311,930,903.70x = 134,634,571,670,870,064
  5. Step 5: Solve for x
    x = 134,634,571,670,870,064/311,930,903.70
  6. Step 6: Final answer
    x = 431,616,649.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.