Finding the Fourth Proportional to 421,163,418,304.86, 631,722,877,767.69 and 138,144,981,422.94
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Solution
The fourth proportional to 421,163,418,304.86, 631,722,877,767.69 and 138,144,981,422.94 is: 207,210,174,057.65
Step by Step Solution
- Step 1: Write the proportion equation
421,163,418,304.86 : 631,722,877,767.69 = 138,144,981,422.94 : x - Step 2: Convert to fraction form
421,163,418,304.86/631,722,877,767.69 = 138,144,981,422.94/x - Step 3: Cross multiply
421,163,418,304.86x = 631,722,877,767.69 × 138,144,981,422.94 - Step 4: Simplify right side
421,163,418,304.86x = 87,269,345,213,663,718,408,192 - Step 5: Solve for x
x = 87,269,345,213,663,718,408,192/421,163,418,304.86 - Step 6: Final answer
x = 207,210,174,057.65
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.