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Finding the Fourth Proportional to 208,770,197,007.67, 313,155,295,511.51 and 208,770,197,007.67

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Solution

The fourth proportional to 208,770,197,007.67, 313,155,295,511.51 and 208,770,197,007.67 is: 313,155,295,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,770,197,007.67 : 313,155,295,511.51 = 208,770,197,007.67 : x
  2. Step 2: Convert to fraction form
    208,770,197,007.67/313,155,295,511.51 = 208,770,197,007.67/x
  3. Step 3: Cross multiply
    208,770,197,007.67x = 313,155,295,511.51 × 208,770,197,007.67
  4. Step 4: Simplify right side
    208,770,197,007.67x = 65,377,492,737,933,063,487,488
  5. Step 5: Solve for x
    x = 65,377,492,737,933,063,487,488/208,770,197,007.67
  6. Step 6: Final answer
    x = 313,155,295,511.51

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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.