Finding the Fourth Proportional to 1,460,649,386,177.90, 2,014,858,693,242 and 910,986,408,550.75
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Solution
The fourth proportional to 1,460,649,386,177.90, 2,014,858,693,242 and 910,986,408,550.75 is: 1,256,638,932,014.20
Step by Step Solution
- Step 1: Write the proportion equation
1,460,649,386,177.90 : 2,014,858,693,242 = 910,986,408,550.75 : x - Step 2: Convert to fraction form
1,460,649,386,177.90/2,014,858,693,242 = 910,986,408,550.75/x - Step 3: Cross multiply
1,460,649,386,177.90x = 2,014,858,693,242 × 910,986,408,550.75 - Step 4: Simplify right side
1,460,649,386,177.90x = 1,835,508,884,693,786,791,247,872 - Step 5: Solve for x
x = 1,835,508,884,693,786,791,247,872/1,460,649,386,177.90 - Step 6: Final answer
x = 1,256,638,932,014.20
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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.