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Finding the Fourth Proportional to 209,952,625.80, 314,928,938.70 and 94,940,920.20

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Solution

The fourth proportional to 209,952,625.80, 314,928,938.70 and 94,940,920.20 is: 142,411,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,625.80 : 314,928,938.70 = 94,940,920.20 : x
  2. Step 2: Convert to fraction form
    209,952,625.80/314,928,938.70 = 94,940,920.20/x
  3. Step 3: Cross multiply
    209,952,625.80x = 314,928,938.70 × 94,940,920.20
  4. Step 4: Simplify right side
    209,952,625.80x = 29,899,643,237,787,392
  5. Step 5: Solve for x
    x = 29,899,643,237,787,392/209,952,625.80
  6. Step 6: Final answer
    x = 142,411,380.30

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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.