Finding the Fourth Proportional to 421,163,418,307.11, 631,722,877,771.07 and 138,144,981,425.19
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Solution
The fourth proportional to 421,163,418,307.11, 631,722,877,771.07 and 138,144,981,425.19 is: 207,210,174,061.02
Step by Step Solution
- Step 1: Write the proportion equation
421,163,418,307.11 : 631,722,877,771.07 = 138,144,981,425.19 : x - Step 2: Convert to fraction form
421,163,418,307.11/631,722,877,771.07 = 138,144,981,425.19/x - Step 3: Cross multiply
421,163,418,307.11x = 631,722,877,771.07 × 138,144,981,425.19 - Step 4: Simplify right side
421,163,418,307.11x = 87,269,345,215,552,027,623,424 - Step 5: Solve for x
x = 87,269,345,215,552,027,623,424/421,163,418,307.11 - Step 6: Final answer
x = 207,210,174,061.02
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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.