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Finding the Fourth Proportional to 360,752,423.40, 541,447,499.70 and 309,096,358.20

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Solution

The fourth proportional to 360,752,423.40, 541,447,499.70 and 309,096,358.20 is: 463,917,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,752,423.40 : 541,447,499.70 = 309,096,358.20 : x
  2. Step 2: Convert to fraction form
    360,752,423.40/541,447,499.70 = 309,096,358.20/x
  3. Step 3: Cross multiply
    360,752,423.40x = 541,447,499.70 × 309,096,358.20
  4. Step 4: Simplify right side
    360,752,423.40x = 167,359,450,313,765,600
  5. Step 5: Solve for x
    x = 167,359,450,313,765,600/360,752,423.40
  6. Step 6: Final answer
    x = 463,917,743.74

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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.