Finding the Fourth Proportional to 178,111,758,617.97, 245,792,480,683.97 and 96,816,744,696.91
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Solution
The fourth proportional to 178,111,758,617.97, 245,792,480,683.97 and 96,816,744,696.91 is: 133,606,158,489.75
Step by Step Solution
- Step 1: Write the proportion equation
178,111,758,617.97 : 245,792,480,683.97 = 96,816,744,696.91 : x - Step 2: Convert to fraction form
178,111,758,617.97/245,792,480,683.97 = 96,816,744,696.91/x - Step 3: Cross multiply
178,111,758,617.97x = 245,792,480,683.97 × 96,816,744,696.91 - Step 4: Simplify right side
178,111,758,617.97x = 23,796,827,850,800,107,618,304 - Step 5: Solve for x
x = 23,796,827,850,800,107,618,304/178,111,758,617.97 - Step 6: Final answer
x = 133,606,158,489.75
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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.