Finding the Fourth Proportional to 11,099,486,225,549, 16,649,162,185,440 and 6,037,992,504,959.40
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Solution
The fourth proportional to 11,099,486,225,549, 16,649,162,185,440 and 6,037,992,504,959.40 is: 9,056,952,227,044.90
Step by Step Solution
- Step 1: Write the proportion equation
11,099,486,225,549 : 16,649,162,185,440 = 6,037,992,504,959.40 : x - Step 2: Convert to fraction form
11,099,486,225,549/16,649,162,185,440 = 6,037,992,504,959.40/x - Step 3: Cross multiply
11,099,486,225,549x = 16,649,162,185,440 × 6,037,992,504,959.40 - Step 4: Simplify right side
11,099,486,225,549x = 100,527,516,489,540,193,805,664,256 - Step 5: Solve for x
x = 100,527,516,489,540,193,805,664,256/11,099,486,225,549 - Step 6: Final answer
x = 9,056,952,227,044.90
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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.