Finding the Fourth Proportional to 84,135,780,476.76, 126,211,429,022.71 and 27,475,940,439.98
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Solution
The fourth proportional to 84,135,780,476.76, 126,211,429,022.71 and 27,475,940,439.98 is: 41,216,444,264.52
Step by Step Solution
- Step 1: Write the proportion equation
84,135,780,476.76 : 126,211,429,022.71 = 27,475,940,439.98 : x - Step 2: Convert to fraction form
84,135,780,476.76/126,211,429,022.71 = 27,475,940,439.98/x - Step 3: Cross multiply
84,135,780,476.76x = 126,211,429,022.71 × 27,475,940,439.98 - Step 4: Simplify right side
84,135,780,476.76x = 3,467,777,706,672,112,271,360 - Step 5: Solve for x
x = 3,467,777,706,672,112,271,360/84,135,780,476.76 - Step 6: Final answer
x = 41,216,444,264.52
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1.5x scale
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.