Finding the Fourth Proportional to 117,027,285,160.41, 161,494,906,578.35 and 68,858,448,341.85
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Solution
The fourth proportional to 117,027,285,160.41, 161,494,906,578.35 and 68,858,448,341.85 is: 95,023,042,420.02
Step by Step Solution
- Step 1: Write the proportion equation
117,027,285,160.41 : 161,494,906,578.35 = 68,858,448,341.85 : x - Step 2: Convert to fraction form
117,027,285,160.41/161,494,906,578.35 = 68,858,448,341.85/x - Step 3: Cross multiply
117,027,285,160.41x = 161,494,906,578.35 × 68,858,448,341.85 - Step 4: Simplify right side
117,027,285,160.41x = 11,120,288,682,097,206,362,112 - Step 5: Solve for x
x = 11,120,288,682,097,206,362,112/117,027,285,160.41 - Step 6: Final answer
x = 95,023,042,420.02
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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.