Finding the Fourth Proportional to 21,887,976,308,684, 30,206,278,169,616 and 12,011,573,236,233
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Solution
The fourth proportional to 21,887,976,308,684, 30,206,278,169,616 and 12,011,573,236,233 is: 16,576,448,974,152.94
Step by Step Solution
- Step 1: Write the proportion equation
21,887,976,308,684 : 30,206,278,169,616 = 12,011,573,236,233 : x - Step 2: Convert to fraction form
21,887,976,308,684/30,206,278,169,616 = 12,011,573,236,233/x - Step 3: Cross multiply
21,887,976,308,684x = 30,206,278,169,616 × 12,011,573,236,233 - Step 4: Simplify right side
21,887,976,308,684x = 362,824,922,428,368,686,048,870,400 - Step 5: Solve for x
x = 362,824,922,428,368,686,048,870,400/21,887,976,308,684 - Step 6: Final answer
x = 16,576,448,974,152.94
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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.