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Finding the Fourth Proportional to 354,827,461.20, 532,241,191.80 and 201,414,238.80

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Solution

The fourth proportional to 354,827,461.20, 532,241,191.80 and 201,414,238.80 is: 302,121,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,827,461.20 : 532,241,191.80 = 201,414,238.80 : x
  2. Step 2: Convert to fraction form
    354,827,461.20/532,241,191.80 = 201,414,238.80/x
  3. Step 3: Cross multiply
    354,827,461.20x = 532,241,191.80 × 201,414,238.80
  4. Step 4: Simplify right side
    354,827,461.20x = 107,200,954,504,401,808
  5. Step 5: Solve for x
    x = 107,200,954,504,401,808/354,827,461.20
  6. Step 6: Final answer
    x = 302,121,358.20

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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.