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Finding the Fourth Proportional to 442,649,677.80, 663,974,516.70 and 429,895,093.80

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Solution

The fourth proportional to 442,649,677.80, 663,974,516.70 and 429,895,093.80 is: 644,842,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,649,677.80 : 663,974,516.70 = 429,895,093.80 : x
  2. Step 2: Convert to fraction form
    442,649,677.80/663,974,516.70 = 429,895,093.80/x
  3. Step 3: Cross multiply
    442,649,677.80x = 663,974,516.70 × 429,895,093.80
  4. Step 4: Simplify right side
    442,649,677.80x = 285,439,387,137,556,192
  5. Step 5: Solve for x
    x = 285,439,387,137,556,192/442,649,677.80
  6. Step 6: Final answer
    x = 644,842,640.70

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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.