Finding the Fourth Proportional to 534,305,350,578, 737,341,858,917.50 and 290,434,819,437.70
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Solution
The fourth proportional to 534,305,350,578, 737,341,858,917.50 and 290,434,819,437.70 is: 400,800,309,087.12
Step by Step Solution
- Step 1: Write the proportion equation
534,305,350,578 : 737,341,858,917.50 = 290,434,819,437.70 : x - Step 2: Convert to fraction form
534,305,350,578/737,341,858,917.50 = 290,434,819,437.70/x - Step 3: Cross multiply
534,305,350,578x = 737,341,858,917.50 × 290,434,819,437.70 - Step 4: Simplify right side
534,305,350,578x = 214,149,749,658,562,204,794,880 - Step 5: Solve for x
x = 214,149,749,658,562,204,794,880/534,305,350,578 - Step 6: Final answer
x = 400,800,309,087.12
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1.5x scale
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.