Finding the Fourth Proportional to 5,193,420,038,500, 7,163,942,018,705.50 and 3,239,062,784,717.30
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Solution
The fourth proportional to 5,193,420,038,500, 7,163,942,018,705.50 and 3,239,062,784,717.30 is: 4,468,049,534,341.84
Step by Step Solution
- Step 1: Write the proportion equation
5,193,420,038,500 : 7,163,942,018,705.50 = 3,239,062,784,717.30 : x - Step 2: Convert to fraction form
5,193,420,038,500/7,163,942,018,705.50 = 3,239,062,784,717.30/x - Step 3: Cross multiply
5,193,420,038,500x = 7,163,942,018,705.50 × 3,239,062,784,717.30 - Step 4: Simplify right side
5,193,420,038,500x = 23,204,457,984,661,510,678,380,544 - Step 5: Solve for x
x = 23,204,457,984,661,510,678,380,544/5,193,420,038,500 - Step 6: Final answer
x = 4,468,049,534,341.84
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.