Finding the Fourth Proportional to 920,219,616,163.80, 1,380,329,424,245.70 and 920,219,616,163.80
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Solution
The fourth proportional to 920,219,616,163.80, 1,380,329,424,245.70 and 920,219,616,163.80 is: 1,380,329,424,245.70
Step by Step Solution
- Step 1: Write the proportion equation
920,219,616,163.80 : 1,380,329,424,245.70 = 920,219,616,163.80 : x - Step 2: Convert to fraction form
920,219,616,163.80/1,380,329,424,245.70 = 920,219,616,163.80/x - Step 3: Cross multiply
920,219,616,163.80x = 1,380,329,424,245.70 × 920,219,616,163.80 - Step 4: Simplify right side
920,219,616,163.80x = 1,270,206,212,958,976,999,424,000 - Step 5: Solve for x
x = 1,270,206,212,958,976,999,424,000/920,219,616,163.80 - Step 6: Final answer
x = 1,380,329,424,245.70
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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.