Finding the Fourth Proportional to 199,571,588,382.96, 299,395,138,242.62 and 80,198,205,565.68
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Solution
The fourth proportional to 199,571,588,382.96, 299,395,138,242.62 and 80,198,205,565.68 is: 120,312,480,532.41
Step by Step Solution
- Step 1: Write the proportion equation
199,571,588,382.96 : 299,395,138,242.62 = 80,198,205,565.68 : x - Step 2: Convert to fraction form
199,571,588,382.96/299,395,138,242.62 = 80,198,205,565.68/x - Step 3: Cross multiply
199,571,588,382.96x = 299,395,138,242.62 × 80,198,205,565.68 - Step 4: Simplify right side
199,571,588,382.96x = 24,010,952,842,146,817,769,472 - Step 5: Solve for x
x = 24,010,952,842,146,817,769,472/199,571,588,382.96 - Step 6: Final answer
x = 120,312,480,532.41
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1.5x scale
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.