Finding the Fourth Proportional to 5,193,420,038,502, 7,163,942,018,708.50 and 3,239,062,784,719.50
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Solution
The fourth proportional to 5,193,420,038,502, 7,163,942,018,708.50 and 3,239,062,784,719.50 is: 4,468,049,534,345.03
Step by Step Solution
- Step 1: Write the proportion equation
5,193,420,038,502 : 7,163,942,018,708.50 = 3,239,062,784,719.50 : x - Step 2: Convert to fraction form
5,193,420,038,502/7,163,942,018,708.50 = 3,239,062,784,719.50/x - Step 3: Cross multiply
5,193,420,038,502x = 7,163,942,018,708.50 × 3,239,062,784,719.50 - Step 4: Simplify right side
5,193,420,038,502x = 23,204,457,984,686,988,424,380,416 - Step 5: Solve for x
x = 23,204,457,984,686,988,424,380,416/5,193,420,038,502 - Step 6: Final answer
x = 4,468,049,534,345.03
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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.