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Finding the Fourth Proportional to 309,114,301.80, 463,671,452.70 and 165,787,069.80

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Solution

The fourth proportional to 309,114,301.80, 463,671,452.70 and 165,787,069.80 is: 248,680,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,114,301.80 : 463,671,452.70 = 165,787,069.80 : x
  2. Step 2: Convert to fraction form
    309,114,301.80/463,671,452.70 = 165,787,069.80/x
  3. Step 3: Cross multiply
    309,114,301.80x = 463,671,452.70 × 165,787,069.80
  4. Step 4: Simplify right side
    309,114,301.80x = 76,870,731,493,042,304
  5. Step 5: Solve for x
    x = 76,870,731,493,042,304/309,114,301.80
  6. Step 6: Final answer
    x = 248,680,604.70

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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.