Finding the Fourth Proportional to 16,027,804,585,074, 22,117,156,475,146 and 8,995,044,478,468
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Solution
The fourth proportional to 16,027,804,585,074, 22,117,156,475,146 and 8,995,044,478,468 is: 12,412,480,148,182.21
Step by Step Solution
- Step 1: Write the proportion equation
16,027,804,585,074 : 22,117,156,475,146 = 8,995,044,478,468 : x - Step 2: Convert to fraction form
16,027,804,585,074/22,117,156,475,146 = 8,995,044,478,468/x - Step 3: Cross multiply
16,027,804,585,074x = 22,117,156,475,146 × 8,995,044,478,468 - Step 4: Simplify right side
16,027,804,585,074x = 198,944,806,231,174,791,613,644,800 - Step 5: Solve for x
x = 198,944,806,231,174,791,613,644,800/16,027,804,585,074 - Step 6: Final answer
x = 12,412,480,148,182.21
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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.