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Finding the Fourth Proportional to 139,180,131,104.45, 208,770,196,656.67 and 139,180,131,104.45

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Solution

The fourth proportional to 139,180,131,104.45, 208,770,196,656.67 and 139,180,131,104.45 is: 208,770,196,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,180,131,104.45 : 208,770,196,656.67 = 139,180,131,104.45 : x
  2. Step 2: Convert to fraction form
    139,180,131,104.45/208,770,196,656.67 = 139,180,131,104.45/x
  3. Step 3: Cross multiply
    139,180,131,104.45x = 208,770,196,656.67 × 139,180,131,104.45
  4. Step 4: Simplify right side
    139,180,131,104.45x = 29,056,663,341,377,144,225,792
  5. Step 5: Solve for x
    x = 29,056,663,341,377,144,225,792/139,180,131,104.45
  6. Step 6: Final answer
    x = 208,770,196,656.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.