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Finding the Fourth Proportional to 209,952,461.80, 314,928,692.70 and 192,096,044.20

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Solution

The fourth proportional to 209,952,461.80, 314,928,692.70 and 192,096,044.20 is: 288,144,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,461.80 : 314,928,692.70 = 192,096,044.20 : x
  2. Step 2: Convert to fraction form
    209,952,461.80/314,928,692.70 = 192,096,044.20/x
  3. Step 3: Cross multiply
    209,952,461.80x = 314,928,692.70 × 192,096,044.20
  4. Step 4: Simplify right side
    209,952,461.80x = 60,496,556,072,747,408
  5. Step 5: Solve for x
    x = 60,496,556,072,747,408/209,952,461.80
  6. Step 6: Final answer
    x = 288,144,066.30

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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.