Finding the Fourth Proportional to 3,110,000,413,469.70, 4,659,906,372,592.10 and 1,656,319,680,250
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Solution
The fourth proportional to 3,110,000,413,469.70, 4,659,906,372,592.10 and 1,656,319,680,250 is: 2,481,766,433,090.50
Step by Step Solution
- Step 1: Write the proportion equation
3,110,000,413,469.70 : 4,659,906,372,592.10 = 1,656,319,680,250 : x - Step 2: Convert to fraction form
3,110,000,413,469.70/4,659,906,372,592.10 = 1,656,319,680,250/x - Step 3: Cross multiply
3,110,000,413,469.70x = 4,659,906,372,592.10 × 1,656,319,680,250 - Step 4: Simplify right side
3,110,000,413,469.70x = 7,718,294,633,046,684,291,039,232 - Step 5: Solve for x
x = 7,718,294,633,046,684,291,039,232/3,110,000,413,469.70 - Step 6: Final answer
x = 2,481,766,433,090.50
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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.