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Finding the Fourth Proportional to 466,991,818.81, 700,664,645.12 and 280,376,083.30

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Solution

The fourth proportional to 466,991,818.81, 700,664,645.12 and 280,376,083.30 is: 420,670,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,991,818.81 : 700,664,645.12 = 280,376,083.30 : x
  2. Step 2: Convert to fraction form
    466,991,818.81/700,664,645.12 = 280,376,083.30/x
  3. Step 3: Cross multiply
    466,991,818.81x = 700,664,645.12 × 280,376,083.30
  4. Step 4: Simplify right side
    466,991,818.81x = 196,449,608,908,431,360
  5. Step 5: Solve for x
    x = 196,449,608,908,431,360/466,991,818.81
  6. Step 6: Final answer
    x = 420,670,343.67

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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.