Finding the Fourth Proportional to 45,512,901,916,561, 62,807,851,128,289 and 24,702,620,882,943
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Solution
The fourth proportional to 45,512,901,916,561, 62,807,851,128,289 and 24,702,620,882,943 is: 34,089,642,047,849.48
Step by Step Solution
- Step 1: Write the proportion equation
45,512,901,916,561 : 62,807,851,128,289 = 24,702,620,882,943 : x - Step 2: Convert to fraction form
45,512,901,916,561/62,807,851,128,289 = 24,702,620,882,943/x - Step 3: Cross multiply
45,512,901,916,561x = 62,807,851,128,289 × 24,702,620,882,943 - Step 4: Simplify right side
45,512,901,916,561x = 1,551,518,534,894,446,859,159,339,008 - Step 5: Solve for x
x = 1,551,518,534,894,446,859,159,339,008/45,512,901,916,561 - Step 6: Final answer
x = 34,089,642,047,849.48
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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.