Finding the Fourth Proportional to 16,377,227,354,824, 22,601,284,181,976 and 9,069,363,098,376.40
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Solution
The fourth proportional to 16,377,227,354,824, 22,601,284,181,976 and 9,069,363,098,376.40 is: 12,516,114,498,193.96
Step by Step Solution
- Step 1: Write the proportion equation
16,377,227,354,824 : 22,601,284,181,976 = 9,069,363,098,376.40 : x - Step 2: Convert to fraction form
16,377,227,354,824/22,601,284,181,976 = 9,069,363,098,376.40/x - Step 3: Cross multiply
16,377,227,354,824x = 22,601,284,181,976 × 9,069,363,098,376.40 - Step 4: Simplify right side
16,377,227,354,824x = 204,979,252,735,931,378,586,091,520 - Step 5: Solve for x
x = 204,979,252,735,931,378,586,091,520/16,377,227,354,824 - Step 6: Final answer
x = 12,516,114,498,193.96
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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.