Finding the Fourth Proportional to 49,034,111,174,593, 73,551,237,550,414 and 20,024,121,035,463
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Solution
The fourth proportional to 49,034,111,174,593, 73,551,237,550,414 and 20,024,121,035,463 is: 30,036,210,461,192.39
Step by Step Solution
- Step 1: Write the proportion equation
49,034,111,174,593 : 73,551,237,550,414 = 20,024,121,035,463 : x - Step 2: Convert to fraction form
49,034,111,174,593/73,551,237,550,414 = 20,024,121,035,463/x - Step 3: Cross multiply
49,034,111,174,593x = 73,551,237,550,414 × 20,024,121,035,463 - Step 4: Simplify right side
49,034,111,174,593x = 1,472,798,883,017,581,104,681,975,808 - Step 5: Solve for x
x = 1,472,798,883,017,581,104,681,975,808/49,034,111,174,593 - Step 6: Final answer
x = 30,036,210,461,192.39
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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.