Finding the Fourth Proportional to 49,034,111,181,200, 73,551,237,560,316 and 20,024,121,042,062
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Solution
The fourth proportional to 49,034,111,181,200, 73,551,237,560,316 and 20,024,121,042,062 is: 30,036,210,471,087.43
Step by Step Solution
- Step 1: Write the proportion equation
49,034,111,181,200 : 73,551,237,560,316 = 20,024,121,042,062 : x - Step 2: Convert to fraction form
49,034,111,181,200/73,551,237,560,316 = 20,024,121,042,062/x - Step 3: Cross multiply
49,034,111,181,200x = 73,551,237,560,316 × 20,024,121,042,062 - Step 4: Simplify right side
49,034,111,181,200x = 1,472,798,883,701,224,449,484,259,328 - Step 5: Solve for x
x = 1,472,798,883,701,224,449,484,259,328/49,034,111,181,200 - Step 6: Final answer
x = 30,036,210,471,087.43
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.