Finding the Fourth Proportional to 49,034,111,181,201, 73,551,237,560,318 and 20,024,121,042,063
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Solution
The fourth proportional to 49,034,111,181,201, 73,551,237,560,318 and 20,024,121,042,063 is: 30,036,210,471,089.13
Step by Step Solution
- Step 1: Write the proportion equation
49,034,111,181,201 : 73,551,237,560,318 = 20,024,121,042,063 : x - Step 2: Convert to fraction form
49,034,111,181,201/73,551,237,560,318 = 20,024,121,042,063/x - Step 3: Cross multiply
49,034,111,181,201x = 73,551,237,560,318 × 20,024,121,042,063 - Step 4: Simplify right side
49,034,111,181,201x = 1,472,798,883,701,338,248,937,734,144 - Step 5: Solve for x
x = 1,472,798,883,701,338,248,937,734,144/49,034,111,181,201 - Step 6: Final answer
x = 30,036,210,471,089.13
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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.