Finding the Fourth Proportional to 30,971,237,597,614, 46,433,953,668,840 and 18,729,926,554,966
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Solution
The fourth proportional to 30,971,237,597,614, 46,433,953,668,840 and 18,729,926,554,966 is: 28,081,039,355,723.67
Step by Step Solution
- Step 1: Write the proportion equation
30,971,237,597,614 : 46,433,953,668,840 = 18,729,926,554,966 : x - Step 2: Convert to fraction form
30,971,237,597,614/46,433,953,668,840 = 18,729,926,554,966/x - Step 3: Cross multiply
30,971,237,597,614x = 46,433,953,668,840 × 18,729,926,554,966 - Step 4: Simplify right side
30,971,237,597,614x = 869,704,541,874,067,280,511,369,216 - Step 5: Solve for x
x = 869,704,541,874,067,280,511,369,216/30,971,237,597,614 - Step 6: Final answer
x = 28,081,039,355,723.67
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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.