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Finding the Fourth Proportional to 201,217,207.40, 301,825,811.10 and 160,906,423.40

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Solution

The fourth proportional to 201,217,207.40, 301,825,811.10 and 160,906,423.40 is: 241,359,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,217,207.40 : 301,825,811.10 = 160,906,423.40 : x
  2. Step 2: Convert to fraction form
    201,217,207.40/301,825,811.10 = 160,906,423.40/x
  3. Step 3: Cross multiply
    201,217,207.40x = 301,825,811.10 × 160,906,423.40
  4. Step 4: Simplify right side
    201,217,207.40x = 48,565,711,753,905,024
  5. Step 5: Solve for x
    x = 48,565,711,753,905,024/201,217,207.40
  6. Step 6: Final answer
    x = 241,359,635.10

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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.