Finding the Fourth Proportional to 534,305,350,013.18, 737,341,858,137.60 and 290,434,818,872.84
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Solution
The fourth proportional to 534,305,350,013.18, 737,341,858,137.60 and 290,434,818,872.84 is: 400,800,308,307.37
Step by Step Solution
- Step 1: Write the proportion equation
534,305,350,013.18 : 737,341,858,137.60 = 290,434,818,872.84 : x - Step 2: Convert to fraction form
534,305,350,013.18/737,341,858,137.60 = 290,434,818,872.84/x - Step 3: Cross multiply
534,305,350,013.18x = 737,341,858,137.60 × 290,434,818,872.84 - Step 4: Simplify right side
534,305,350,013.18x = 214,149,749,015,557,147,983,872 - Step 5: Solve for x
x = 214,149,749,015,557,147,983,872/534,305,350,013.18 - Step 6: Final answer
x = 400,800,308,307.37
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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.