Finding the Fourth Proportional to 11,922,581,640,617, 16,466,734,508,739 and 8,013,867,109,117.20
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Solution
The fourth proportional to 11,922,581,640,617, 16,466,734,508,739 and 8,013,867,109,117.20 is: 11,068,259,044,214.82
Step by Step Solution
- Step 1: Write the proportion equation
11,922,581,640,617 : 16,466,734,508,739 = 8,013,867,109,117.20 : x - Step 2: Convert to fraction form
11,922,581,640,617/16,466,734,508,739 = 8,013,867,109,117.20/x - Step 3: Cross multiply
11,922,581,640,617x = 16,466,734,508,739 × 8,013,867,109,117.20 - Step 4: Simplify right side
11,922,581,640,617x = 131,962,222,074,148,645,557,501,952 - Step 5: Solve for x
x = 131,962,222,074,148,645,557,501,952/11,922,581,640,617 - Step 6: Final answer
x = 11,068,259,044,214.82
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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.