Finding the Fourth Proportional to 3,649,096,072,125.90, 5,035,757,566,268.50 and 1,980,511,478,566
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Solution
The fourth proportional to 3,649,096,072,125.90, 5,035,757,566,268.50 and 1,980,511,478,566 is: 2,733,108,546,922.97
Step by Step Solution
- Step 1: Write the proportion equation
3,649,096,072,125.90 : 5,035,757,566,268.50 = 1,980,511,478,566 : x - Step 2: Convert to fraction form
3,649,096,072,125.90/5,035,757,566,268.50 = 1,980,511,478,566/x - Step 3: Cross multiply
3,649,096,072,125.90x = 5,035,757,566,268.50 × 1,980,511,478,566 - Step 4: Simplify right side
3,649,096,072,125.90x = 9,973,375,663,270,347,778,555,904 - Step 5: Solve for x
x = 9,973,375,663,270,347,778,555,904/3,649,096,072,125.90 - Step 6: Final answer
x = 2,733,108,546,922.97
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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.