Finding the Fourth Proportional to 6,986,415,917,305.20, 10,479,837,370,107 and 2,396,880,442,619.10
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Solution
The fourth proportional to 6,986,415,917,305.20, 10,479,837,370,107 and 2,396,880,442,619.10 is: 3,595,393,908,916.77
Step by Step Solution
- Step 1: Write the proportion equation
6,986,415,917,305.20 : 10,479,837,370,107 = 2,396,880,442,619.10 : x - Step 2: Convert to fraction form
6,986,415,917,305.20/10,479,837,370,107 = 2,396,880,442,619.10/x - Step 3: Cross multiply
6,986,415,917,305.20x = 10,479,837,370,107 × 2,396,880,442,619.10 - Step 4: Simplify right side
6,986,415,917,305.20x = 25,118,917,234,238,252,348,604,416 - Step 5: Solve for x
x = 25,118,917,234,238,252,348,604,416/6,986,415,917,305.20 - Step 6: Final answer
x = 3,595,393,908,916.77
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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.