Finding the Fourth Proportional to 289,162,368,177.80, 433,743,552,266.70 and 201,002,683,569.80
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Solution
The fourth proportional to 289,162,368,177.80, 433,743,552,266.70 and 201,002,683,569.80 is: 301,504,025,354.70
Step by Step Solution
- Step 1: Write the proportion equation
289,162,368,177.80 : 433,743,552,266.70 = 201,002,683,569.80 : x - Step 2: Convert to fraction form
289,162,368,177.80/433,743,552,266.70 = 201,002,683,569.80/x - Step 3: Cross multiply
289,162,368,177.80x = 433,743,552,266.70 × 201,002,683,569.80 - Step 4: Simplify right side
289,162,368,177.80x = 87,183,617,986,704,508,452,864 - Step 5: Solve for x
x = 87,183,617,986,704,508,452,864/289,162,368,177.80 - Step 6: Final answer
x = 301,504,025,354.70
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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.