Finding the Fourth Proportional to 10,224,222,410,351, 14,109,870,445,686 and 5,661,958,731,887
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Solution
The fourth proportional to 10,224,222,410,351, 14,109,870,445,686 and 5,661,958,731,887 is: 7,813,748,661,694.41
Step by Step Solution
- Step 1: Write the proportion equation
10,224,222,410,351 : 14,109,870,445,686 = 5,661,958,731,887 : x - Step 2: Convert to fraction form
10,224,222,410,351/14,109,870,445,686 = 5,661,958,731,887/x - Step 3: Cross multiply
10,224,222,410,351x = 14,109,870,445,686 × 5,661,958,731,887 - Step 4: Simplify right side
10,224,222,410,351x = 79,889,504,175,746,160,487,563,264 - Step 5: Solve for x
x = 79,889,504,175,746,160,487,563,264/10,224,222,410,351 - Step 6: Final answer
x = 7,813,748,661,694.41
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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.