Finding the Fourth Proportional to 20,108,613,598.93, 27,748,861,180.45 and 11,076,177,263.23
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Solution
The fourth proportional to 20,108,613,598.93, 27,748,861,180.45 and 11,076,177,263.23 is: 15,284,559,712.45
Step by Step Solution
- Step 1: Write the proportion equation
20,108,613,598.93 : 27,748,861,180.45 = 11,076,177,263.23 : x - Step 2: Convert to fraction form
20,108,613,598.93/27,748,861,180.45 = 11,076,177,263.23/x - Step 3: Cross multiply
20,108,613,598.93x = 27,748,861,180.45 × 11,076,177,263.23 - Step 4: Simplify right side
20,108,613,598.93x = 307,351,305,287,425,851,392 - Step 5: Solve for x
x = 307,351,305,287,425,851,392/20,108,613,598.93 - Step 6: Final answer
x = 15,284,559,712.45
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1.5x scale
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.