Finding the Fourth Proportional to 861,064,976,313.73, 1,188,270,144,066.60 and 465,102,022,861.09
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Solution
The fourth proportional to 861,064,976,313.73, 1,188,270,144,066.60 and 465,102,022,861.09 is: 641,841,049,065.56
Step by Step Solution
- Step 1: Write the proportion equation
861,064,976,313.73 : 1,188,270,144,066.60 = 465,102,022,861.09 : x - Step 2: Convert to fraction form
861,064,976,313.73/1,188,270,144,066.60 = 465,102,022,861.09/x - Step 3: Cross multiply
861,064,976,313.73x = 1,188,270,144,066.60 × 465,102,022,861.09 - Step 4: Simplify right side
861,064,976,313.73x = 552,666,847,710,814,605,934,592 - Step 5: Solve for x
x = 552,666,847,710,814,605,934,592/861,064,976,313.73 - Step 6: Final answer
x = 641,841,049,065.56
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.