Finding the Fourth Proportional to 218,163,333,674.88, 301,273,328,784.96 and 206,277,931,981.44
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Solution
The fourth proportional to 218,163,333,674.88, 301,273,328,784.96 and 206,277,931,981.44 is: 284,860,146,643.80
Step by Step Solution
- Step 1: Write the proportion equation
218,163,333,674.88 : 301,273,328,784.96 = 206,277,931,981.44 : x - Step 2: Convert to fraction form
218,163,333,674.88/301,273,328,784.96 = 206,277,931,981.44/x - Step 3: Cross multiply
218,163,333,674.88x = 301,273,328,784.96 × 206,277,931,981.44 - Step 4: Simplify right side
218,163,333,674.88x = 62,146,039,222,925,990,559,744 - Step 5: Solve for x
x = 62,146,039,222,925,990,559,744/218,163,333,674.88 - Step 6: Final answer
x = 284,860,146,643.80
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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.