Finding the Fourth Proportional to 10,224,222,410,335, 14,109,870,445,664 and 5,661,958,731,871
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Solution
The fourth proportional to 10,224,222,410,335, 14,109,870,445,664 and 5,661,958,731,871 is: 7,813,748,661,672.38
Step by Step Solution
- Step 1: Write the proportion equation
10,224,222,410,335 : 14,109,870,445,664 = 5,661,958,731,871 : x - Step 2: Convert to fraction form
10,224,222,410,335/14,109,870,445,664 = 5,661,958,731,871/x - Step 3: Cross multiply
10,224,222,410,335x = 14,109,870,445,664 × 5,661,958,731,871 - Step 4: Simplify right side
10,224,222,410,335x = 79,889,504,175,395,845,775,032,320 - Step 5: Solve for x
x = 79,889,504,175,395,845,775,032,320/10,224,222,410,335 - Step 6: Final answer
x = 7,813,748,661,672.38
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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.