Finding the Fourth Proportional to 664,994,468,106.80, 997,390,916,309.19 and 180,986,405,180.78
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Solution
The fourth proportional to 664,994,468,106.80, 997,390,916,309.19 and 180,986,405,180.78 is: 271,452,177,664.99
Step by Step Solution
- Step 1: Write the proportion equation
664,994,468,106.80 : 997,390,916,309.19 = 180,986,405,180.78 : x - Step 2: Convert to fraction form
664,994,468,106.80/997,390,916,309.19 = 180,986,405,180.78/x - Step 3: Cross multiply
664,994,468,106.80x = 997,390,916,309.19 × 180,986,405,180.78 - Step 4: Simplify right side
664,994,468,106.80x = 180,514,196,502,764,488,491,008 - Step 5: Solve for x
x = 180,514,196,502,764,488,491,008/664,994,468,106.80 - Step 6: Final answer
x = 271,452,177,664.99
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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.