Finding the Fourth Proportional to 196,213,207,707.40, 270,824,606,837.70 and 127,795,112,557
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Solution
The fourth proportional to 196,213,207,707.40, 270,824,606,837.70 and 127,795,112,557 is: 176,390,068,326.29
Step by Step Solution
- Step 1: Write the proportion equation
196,213,207,707.40 : 270,824,606,837.70 = 127,795,112,557 : x - Step 2: Convert to fraction form
196,213,207,707.40/270,824,606,837.70 = 127,795,112,557/x - Step 3: Cross multiply
196,213,207,707.40x = 270,824,606,837.70 × 127,795,112,557 - Step 4: Simplify right side
196,213,207,707.40x = 34,610,061,114,029,144,801,280 - Step 5: Solve for x
x = 34,610,061,114,029,144,801,280/196,213,207,707.40 - Step 6: Final answer
x = 176,390,068,326.29
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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.