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Finding the Fourth Proportional to 468,704,764.70, 702,339,701.70 and 442,876,732.10

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Solution

The fourth proportional to 468,704,764.70, 702,339,701.70 and 442,876,732.10 is: 663,637,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,704,764.70 : 702,339,701.70 = 442,876,732.10 : x
  2. Step 2: Convert to fraction form
    468,704,764.70/702,339,701.70 = 442,876,732.10/x
  3. Step 3: Cross multiply
    468,704,764.70x = 702,339,701.70 × 442,876,732.10
  4. Step 4: Simplify right side
    468,704,764.70x = 311,049,911,912,984,832
  5. Step 5: Solve for x
    x = 311,049,911,912,984,832/468,704,764.70
  6. Step 6: Final answer
    x = 663,637,187.71

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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.