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Finding the Fourth Proportional to 126,735,408,038.45, 190,103,112,057.67 and 126,735,408,038.45

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Solution

The fourth proportional to 126,735,408,038.45, 190,103,112,057.67 and 126,735,408,038.45 is: 190,103,112,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,735,408,038.45 : 190,103,112,057.67 = 126,735,408,038.45 : x
  2. Step 2: Convert to fraction form
    126,735,408,038.45/190,103,112,057.67 = 126,735,408,038.45/x
  3. Step 3: Cross multiply
    126,735,408,038.45x = 190,103,112,057.67 × 126,735,408,038.45
  4. Step 4: Simplify right side
    126,735,408,038.45x = 24,092,795,476,007,993,737,216
  5. Step 5: Solve for x
    x = 24,092,795,476,007,993,737,216/126,735,408,038.45
  6. Step 6: Final answer
    x = 190,103,112,057.67

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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.