Finding the Fourth Proportional to 922,544,151,381.15, 1,383,311,763,201.90 and 732,536,738,742.50
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Solution
The fourth proportional to 922,544,151,381.15, 1,383,311,763,201.90 and 732,536,738,742.50 is: 1,098,404,543,742.43
Step by Step Solution
- Step 1: Write the proportion equation
922,544,151,381.15 : 1,383,311,763,201.90 = 732,536,738,742.50 : x - Step 2: Convert to fraction form
922,544,151,381.15/1,383,311,763,201.90 = 732,536,738,742.50/x - Step 3: Cross multiply
922,544,151,381.15x = 1,383,311,763,201.90 × 732,536,738,742.50 - Step 4: Simplify right side
922,544,151,381.15x = 1,013,326,687,680,057,183,305,728 - Step 5: Solve for x
x = 1,013,326,687,680,057,183,305,728/922,544,151,381.15 - Step 6: Final answer
x = 1,098,404,543,742.43
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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.