Finding the Fourth Proportional to 37,513,853,967,340, 51,770,374,134,984 and 20,847,529,811,628
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Solution
The fourth proportional to 37,513,853,967,340, 51,770,374,134,984 and 20,847,529,811,628 is: 28,770,288,946,527.64
Step by Step Solution
- Step 1: Write the proportion equation
37,513,853,967,340 : 51,770,374,134,984 = 20,847,529,811,628 : x - Step 2: Convert to fraction form
37,513,853,967,340/51,770,374,134,984 = 20,847,529,811,628/x - Step 3: Cross multiply
37,513,853,967,340x = 51,770,374,134,984 × 20,847,529,811,628 - Step 4: Simplify right side
37,513,853,967,340x = 1,079,284,418,138,214,058,136,961,024 - Step 5: Solve for x
x = 1,079,284,418,138,214,058,136,961,024/37,513,853,967,340 - Step 6: Final answer
x = 28,770,288,946,527.64
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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.