Finding the Fourth Proportional to 680,593,694,979.68, 1,020,890,542,469.50 and 680,593,694,979.68
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Solution
The fourth proportional to 680,593,694,979.68, 1,020,890,542,469.50 and 680,593,694,979.68 is: 1,020,890,542,469.50
Step by Step Solution
- Step 1: Write the proportion equation
680,593,694,979.68 : 1,020,890,542,469.50 = 680,593,694,979.68 : x - Step 2: Convert to fraction form
680,593,694,979.68/1,020,890,542,469.50 = 680,593,694,979.68/x - Step 3: Cross multiply
680,593,694,979.68x = 1,020,890,542,469.50 × 680,593,694,979.68 - Step 4: Simplify right side
680,593,694,979.68x = 694,811,666,469,126,997,540,864 - Step 5: Solve for x
x = 694,811,666,469,126,997,540,864/680,593,694,979.68 - Step 6: Final answer
x = 1,020,890,542,469.50
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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.