Finding the Fourth Proportional to 42,270,480,274,558, 63,414,846,685,968 and 12,866,998,424,528
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Solution
The fourth proportional to 42,270,480,274,558, 63,414,846,685,968 and 12,866,998,424,528 is: 19,303,275,645,324.26
Step by Step Solution
- Step 1: Write the proportion equation
42,270,480,274,558 : 63,414,846,685,968 = 12,866,998,424,528 : x - Step 2: Convert to fraction form
42,270,480,274,558/63,414,846,685,968 = 12,866,998,424,528/x - Step 3: Cross multiply
42,270,480,274,558x = 63,414,846,685,968 × 12,866,998,424,528 - Step 4: Simplify right side
42,270,480,274,558x = 815,958,732,400,034,983,551,434,752 - Step 5: Solve for x
x = 815,958,732,400,034,983,551,434,752/42,270,480,274,558 - Step 6: Final answer
x = 19,303,275,645,324.26
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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.