Finding the Fourth Proportional to 16,147,591,900.16, 24,221,286,212.14 and 8,689,687,699.79
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Solution
The fourth proportional to 16,147,591,900.16, 24,221,286,212.14 and 8,689,687,699.79 is: 13,034,476,854.02
Step by Step Solution
- Step 1: Write the proportion equation
16,147,591,900.16 : 24,221,286,212.14 = 8,689,687,699.79 : x - Step 2: Convert to fraction form
16,147,591,900.16/24,221,286,212.14 = 8,689,687,699.79/x - Step 3: Cross multiply
16,147,591,900.16x = 24,221,286,212.14 × 8,689,687,699.79 - Step 4: Simplify right side
16,147,591,900.16x = 210,475,412,870,795,296,768 - Step 5: Solve for x
x = 210,475,412,870,795,296,768/16,147,591,900.16 - Step 6: Final answer
x = 13,034,476,854.02
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1.5x scale
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.