Finding the Fourth Proportional to 31,321,752,125,006, 43,222,070,369,756 and 17,258,161,407,758
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Solution
The fourth proportional to 31,321,752,125,006, 43,222,070,369,756 and 17,258,161,407,758 is: 23,815,189,643,340.57
Step by Step Solution
- Step 1: Write the proportion equation
31,321,752,125,006 : 43,222,070,369,756 = 17,258,161,407,758 : x - Step 2: Convert to fraction form
31,321,752,125,006/43,222,070,369,756 = 17,258,161,407,758/x - Step 3: Cross multiply
31,321,752,125,006x = 43,222,070,369,756 × 17,258,161,407,758 - Step 4: Simplify right side
31,321,752,125,006x = 745,933,466,818,723,482,469,138,432 - Step 5: Solve for x
x = 745,933,466,818,723,482,469,138,432/31,321,752,125,006 - Step 6: Final answer
x = 23,815,189,643,340.57
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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.