Finding the Fourth Proportional to 17,857,381,550,686, 26,788,896,620,640 and 6,396,390,960,288
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Solution
The fourth proportional to 17,857,381,550,686, 26,788,896,620,640 and 6,396,390,960,288 is: 9,595,598,083,290.60
Step by Step Solution
- Step 1: Write the proportion equation
17,857,381,550,686 : 26,788,896,620,640 = 6,396,390,960,288 : x - Step 2: Convert to fraction form
17,857,381,550,686/26,788,896,620,640 = 6,396,390,960,288/x - Step 3: Cross multiply
17,857,381,550,686x = 26,788,896,620,640 × 6,396,390,960,288 - Step 4: Simplify right side
17,857,381,550,686x = 171,352,256,180,351,431,830,667,264 - Step 5: Solve for x
x = 171,352,256,180,351,431,830,667,264/17,857,381,550,686 - Step 6: Final answer
x = 9,595,598,083,290.60
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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.