Finding the Fourth Proportional to 59,154,639,016,004, 81,633,497,876,040 and 32,816,622,333,972
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Solution
The fourth proportional to 59,154,639,016,004, 81,633,497,876,040 and 32,816,622,333,972 is: 45,286,992,096,669.49
Step by Step Solution
- Step 1: Write the proportion equation
59,154,639,016,004 : 81,633,497,876,040 = 32,816,622,333,972 : x - Step 2: Convert to fraction form
59,154,639,016,004/81,633,497,876,040 = 32,816,622,333,972/x - Step 3: Cross multiply
59,154,639,016,004x = 81,633,497,876,040 × 32,816,622,333,972 - Step 4: Simplify right side
59,154,639,016,004x = 2,678,935,669,599,110,147,436,707,840 - Step 5: Solve for x
x = 2,678,935,669,599,110,147,436,707,840/59,154,639,016,004 - Step 6: Final answer
x = 45,286,992,096,669.49
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1.5x scale
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.