Finding the Fourth Proportional to 4,194,608,366.16, 6,292,741,408.11 and 1,538,689,102.83
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Solution
The fourth proportional to 4,194,608,366.16, 6,292,741,408.11 and 1,538,689,102.83 is: 2,308,337,700.77
Step by Step Solution
- Step 1: Write the proportion equation
4,194,608,366.16 : 6,292,741,408.11 = 1,538,689,102.83 : x - Step 2: Convert to fraction form
4,194,608,366.16/6,292,741,408.11 = 1,538,689,102.83/x - Step 3: Cross multiply
4,194,608,366.16x = 6,292,741,408.11 × 1,538,689,102.83 - Step 4: Simplify right side
4,194,608,366.16x = 9,682,572,631,585,966,080 - Step 5: Solve for x
x = 9,682,572,631,585,966,080/4,194,608,366.16 - Step 6: Final answer
x = 2,308,337,700.77
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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.