Finding the Fourth Proportional to 849,941,198,864.16, 1,275,135,412,527.40 and 305,444,704,702.56
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Solution
The fourth proportional to 849,941,198,864.16, 1,275,135,412,527.40 and 305,444,704,702.56 is: 458,247,417,651.60
Step by Step Solution
- Step 1: Write the proportion equation
849,941,198,864.16 : 1,275,135,412,527.40 = 305,444,704,702.56 : x - Step 2: Convert to fraction form
849,941,198,864.16/1,275,135,412,527.40 = 305,444,704,702.56/x - Step 3: Cross multiply
849,941,198,864.16x = 1,275,135,412,527.40 × 305,444,704,702.56 - Step 4: Simplify right side
849,941,198,864.16x = 389,483,359,535,208,673,050,624 - Step 5: Solve for x
x = 389,483,359,535,208,673,050,624/849,941,198,864.16 - Step 6: Final answer
x = 458,247,417,651.60
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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.