Finding the Fourth Proportional to 20,997,659,583,938, 28,976,141,159,766 and 11,622,841,384,216
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Solution
The fourth proportional to 20,997,659,583,938, 28,976,141,159,766 and 11,622,841,384,216 is: 16,039,172,903,071.26
Step by Step Solution
- Step 1: Write the proportion equation
20,997,659,583,938 : 28,976,141,159,766 = 11,622,841,384,216 : x - Step 2: Convert to fraction form
20,997,659,583,938/28,976,141,159,766 = 11,622,841,384,216/x - Step 3: Cross multiply
20,997,659,583,938x = 28,976,141,159,766 × 11,622,841,384,216 - Step 4: Simplify right side
20,997,659,583,938x = 336,785,092,626,612,900,188,913,664 - Step 5: Solve for x
x = 336,785,092,626,612,900,188,913,664/20,997,659,583,938 - Step 6: Final answer
x = 16,039,172,903,071.26
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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.