Finding the Fourth Proportional to 5,193,420,038,497.80, 7,163,942,018,703 and 3,239,062,784,715.20
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Solution
The fourth proportional to 5,193,420,038,497.80, 7,163,942,018,703 and 3,239,062,784,715.20 is: 4,468,049,534,339.28
Step by Step Solution
- Step 1: Write the proportion equation
5,193,420,038,497.80 : 7,163,942,018,703 = 3,239,062,784,715.20 : x - Step 2: Convert to fraction form
5,193,420,038,497.80/7,163,942,018,703 = 3,239,062,784,715.20/x - Step 3: Cross multiply
5,193,420,038,497.80x = 7,163,942,018,703 × 3,239,062,784,715.20 - Step 4: Simplify right side
5,193,420,038,497.80x = 23,204,457,984,638,373,689,556,992 - Step 5: Solve for x
x = 23,204,457,984,638,373,689,556,992/5,193,420,038,497.80 - Step 6: Final answer
x = 4,468,049,534,339.28
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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.