Finding the Fourth Proportional to 49,034,111,181,282, 73,551,237,560,444 and 20,024,121,042,150
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Solution
The fourth proportional to 49,034,111,181,282, 73,551,237,560,444 and 20,024,121,042,150 is: 30,036,210,471,221.47
Step by Step Solution
- Step 1: Write the proportion equation
49,034,111,181,282 : 73,551,237,560,444 = 20,024,121,042,150 : x - Step 2: Convert to fraction form
49,034,111,181,282/73,551,237,560,444 = 20,024,121,042,150/x - Step 3: Cross multiply
49,034,111,181,282x = 73,551,237,560,444 × 20,024,121,042,150 - Step 4: Simplify right side
49,034,111,181,282x = 1,472,798,883,710,260,236,041,322,496 - Step 5: Solve for x
x = 1,472,798,883,710,260,236,041,322,496/49,034,111,181,282 - Step 6: Final answer
x = 30,036,210,471,221.47
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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.