Finding the Fourth Proportional to 378,385,269,991.05, 567,579,377,514.12 and 91,542,866,219.15
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Solution
The fourth proportional to 378,385,269,991.05, 567,579,377,514.12 and 91,542,866,219.15 is: 137,314,655,577.77
Step by Step Solution
- Step 1: Write the proportion equation
378,385,269,991.05 : 567,579,377,514.12 = 91,542,866,219.15 : x - Step 2: Convert to fraction form
378,385,269,991.05/567,579,377,514.12 = 91,542,866,219.15/x - Step 3: Cross multiply
378,385,269,991.05x = 567,579,377,514.12 × 91,542,866,219.15 - Step 4: Simplify right side
378,385,269,991.05x = 51,957,843,024,520,683,716,608 - Step 5: Solve for x
x = 51,957,843,024,520,683,716,608/378,385,269,991.05 - Step 6: Final answer
x = 137,314,655,577.77
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.