Finding the Fourth Proportional to 30,971,237,597,785, 46,433,953,669,102 and 18,729,926,555,139
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Solution
The fourth proportional to 30,971,237,597,785, 46,433,953,669,102 and 18,729,926,555,139 is: 28,081,039,355,986.44
Step by Step Solution
- Step 1: Write the proportion equation
30,971,237,597,785 : 46,433,953,669,102 = 18,729,926,555,139 : x - Step 2: Convert to fraction form
30,971,237,597,785/46,433,953,669,102 = 18,729,926,555,139/x - Step 3: Cross multiply
30,971,237,597,785x = 46,433,953,669,102 × 18,729,926,555,139 - Step 4: Simplify right side
30,971,237,597,785x = 869,704,541,887,007,570,297,618,432 - Step 5: Solve for x
x = 869,704,541,887,007,570,297,618,432/30,971,237,597,785 - Step 6: Final answer
x = 28,081,039,355,986.44
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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.