Finding the Fourth Proportional to 23,228,428,198,208, 34,825,465,251,630 and 14,047,444,916,221
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Solution
The fourth proportional to 23,228,428,198,208, 34,825,465,251,630 and 14,047,444,916,221 is: 21,060,779,516,789.77
Step by Step Solution
- Step 1: Write the proportion equation
23,228,428,198,208 : 34,825,465,251,630 = 14,047,444,916,221 : x - Step 2: Convert to fraction form
23,228,428,198,208/34,825,465,251,630 = 14,047,444,916,221/x - Step 3: Cross multiply
23,228,428,198,208x = 34,825,465,251,630 × 14,047,444,916,221 - Step 4: Simplify right side
23,228,428,198,208x = 489,208,804,804,040,936,935,915,520 - Step 5: Solve for x
x = 489,208,804,804,040,936,935,915,520/23,228,428,198,208 - Step 6: Final answer
x = 21,060,779,516,789.77
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.