Finding the Fourth Proportional to 13,727,778,381, 20,588,603,067.18 and 6,365,832,478.92
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Solution
The fourth proportional to 13,727,778,381, 20,588,603,067.18 and 6,365,832,478.92 is: 9,547,327,649.32
Step by Step Solution
- Step 1: Write the proportion equation
13,727,778,381 : 20,588,603,067.18 = 6,365,832,478.92 : x - Step 2: Convert to fraction form
13,727,778,381/20,588,603,067.18 = 6,365,832,478.92/x - Step 3: Cross multiply
13,727,778,381x = 20,588,603,067.18 × 6,365,832,478.92 - Step 4: Simplify right side
13,727,778,381x = 131,063,598,100,646,379,520 - Step 5: Solve for x
x = 131,063,598,100,646,379,520/13,727,778,381 - Step 6: Final answer
x = 9,547,327,649.32
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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.