Finding the Fourth Proportional to 16,377,227,354,845, 22,601,284,182,008 and 9,069,363,098,400
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Solution
The fourth proportional to 16,377,227,354,845, 22,601,284,182,008 and 9,069,363,098,400 is: 12,516,114,498,228.20
Step by Step Solution
- Step 1: Write the proportion equation
16,377,227,354,845 : 22,601,284,182,008 = 9,069,363,098,400 : x - Step 2: Convert to fraction form
16,377,227,354,845/22,601,284,182,008 = 9,069,363,098,400/x - Step 3: Cross multiply
16,377,227,354,845x = 22,601,284,182,008 × 9,069,363,098,400 - Step 4: Simplify right side
16,377,227,354,845x = 204,979,252,736,754,981,514,772,480 - Step 5: Solve for x
x = 204,979,252,736,754,981,514,772,480/16,377,227,354,845 - Step 6: Final answer
x = 12,516,114,498,228.20
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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.