Finding the Fourth Proportional to 11,099,486,225,533, 16,649,162,185,416 and 6,037,992,504,943.70
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Solution
The fourth proportional to 11,099,486,225,533, 16,649,162,185,416 and 6,037,992,504,943.70 is: 9,056,952,227,021.35
Step by Step Solution
- Step 1: Write the proportion equation
11,099,486,225,533 : 16,649,162,185,416 = 6,037,992,504,943.70 : x - Step 2: Convert to fraction form
11,099,486,225,533/16,649,162,185,416 = 6,037,992,504,943.70/x - Step 3: Cross multiply
11,099,486,225,533x = 16,649,162,185,416 × 6,037,992,504,943.70 - Step 4: Simplify right side
11,099,486,225,533x = 100,527,516,489,133,889,899,462,656 - Step 5: Solve for x
x = 100,527,516,489,133,889,899,462,656/11,099,486,225,533 - Step 6: Final answer
x = 9,056,952,227,021.35
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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.