Finding the Fourth Proportional to 489,680,148,375.97, 675,760,645,864.18 and 269,944,013,219.55
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Solution
The fourth proportional to 489,680,148,375.97, 675,760,645,864.18 and 269,944,013,219.55 is: 372,523,863,434.94
Step by Step Solution
- Step 1: Write the proportion equation
489,680,148,375.97 : 675,760,645,864.18 = 269,944,013,219.55 : x - Step 2: Convert to fraction form
489,680,148,375.97/675,760,645,864.18 = 269,944,013,219.55/x - Step 3: Cross multiply
489,680,148,375.97x = 675,760,645,864.18 × 269,944,013,219.55 - Step 4: Simplify right side
489,680,148,375.97x = 182,417,540,720,411,870,756,864 - Step 5: Solve for x
x = 182,417,540,720,411,870,756,864/489,680,148,375.97 - Step 6: Final answer
x = 372,523,863,434.94
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.