Finding the Fourth Proportional to 900,474,890,476.60, 1,350,755,777,021.50 and 296,086,715,117.56
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Solution
The fourth proportional to 900,474,890,476.60, 1,350,755,777,021.50 and 296,086,715,117.56 is: 444,144,356,687.93
Step by Step Solution
- Step 1: Write the proportion equation
900,474,890,476.60 : 1,350,755,777,021.50 = 296,086,715,117.56 : x - Step 2: Convert to fraction form
900,474,890,476.60/1,350,755,777,021.50 = 296,086,715,117.56/x - Step 3: Cross multiply
900,474,890,476.60x = 1,350,755,777,021.50 × 296,086,715,117.56 - Step 4: Simplify right side
900,474,890,476.60x = 399,940,840,944,363,284,463,616 - Step 5: Solve for x
x = 399,940,840,944,363,284,463,616/900,474,890,476.60 - Step 6: Final answer
x = 444,144,356,687.93
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1.5x scale
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.