Finding the Fourth Proportional to 902,850,608,343.24, 1,245,934,042,884.70 and 496,858,149,651.80
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Solution
The fourth proportional to 902,850,608,343.24, 1,245,934,042,884.70 and 496,858,149,651.80 is: 685,664,358,438.95
Step by Step Solution
- Step 1: Write the proportion equation
902,850,608,343.24 : 1,245,934,042,884.70 = 496,858,149,651.80 : x - Step 2: Convert to fraction form
902,850,608,343.24/1,245,934,042,884.70 = 496,858,149,651.80/x - Step 3: Cross multiply
902,850,608,343.24x = 1,245,934,042,884.70 × 496,858,149,651.80 - Step 4: Simplify right side
902,850,608,343.24x = 619,052,483,135,878,408,962,048 - Step 5: Solve for x
x = 619,052,483,135,878,408,962,048/902,850,608,343.24 - Step 6: Final answer
x = 685,664,358,438.95
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.