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Finding the Fourth Proportional to 192,996,808.80, 289,495,213.20 and 49,389,640.80

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Solution

The fourth proportional to 192,996,808.80, 289,495,213.20 and 49,389,640.80 is: 74,084,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,996,808.80 : 289,495,213.20 = 49,389,640.80 : x
  2. Step 2: Convert to fraction form
    192,996,808.80/289,495,213.20 = 49,389,640.80/x
  3. Step 3: Cross multiply
    192,996,808.80x = 289,495,213.20 × 49,389,640.80
  4. Step 4: Simplify right side
    192,996,808.80x = 14,298,064,593,267,418
  5. Step 5: Solve for x
    x = 14,298,064,593,267,418/192,996,808.80
  6. Step 6: Final answer
    x = 74,084,461.20

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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.