Finding the Fourth Proportional to 97,404,906,969.11, 134,371,005,186.26 and 84,526,471,474.41
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Solution
The fourth proportional to 97,404,906,969.11, 134,371,005,186.26 and 84,526,471,474.41 is: 116,605,079,664.69
Step by Step Solution
- Step 1: Write the proportion equation
97,404,906,969.11 : 134,371,005,186.26 = 84,526,471,474.41 : x - Step 2: Convert to fraction form
97,404,906,969.11/134,371,005,186.26 = 84,526,471,474.41/x - Step 3: Cross multiply
97,404,906,969.11x = 134,371,005,186.26 × 84,526,471,474.41 - Step 4: Simplify right side
97,404,906,969.11x = 11,357,906,936,864,203,341,824 - Step 5: Solve for x
x = 11,357,906,936,864,203,341,824/97,404,906,969.11 - Step 6: Final answer
x = 116,605,079,664.69
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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.