Finding the Fourth Proportional to 159,982,065,704.93, 239,805,114,706.50 and 53,827,277,823.12
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Solution
The fourth proportional to 159,982,065,704.93, 239,805,114,706.50 and 53,827,277,823.12 is: 80,684,397,190.62
Step by Step Solution
- Step 1: Write the proportion equation
159,982,065,704.93 : 239,805,114,706.50 = 53,827,277,823.12 : x - Step 2: Convert to fraction form
159,982,065,704.93/239,805,114,706.50 = 53,827,277,823.12/x - Step 3: Cross multiply
159,982,065,704.93x = 239,805,114,706.50 × 53,827,277,823.12 - Step 4: Simplify right side
159,982,065,704.93x = 12,908,056,532,711,936,884,736 - Step 5: Solve for x
x = 12,908,056,532,711,936,884,736/159,982,065,704.93 - Step 6: Final answer
x = 80,684,397,190.62
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.