Finding the Fourth Proportional to 45,512,901,916,560, 62,807,851,128,288 and 24,702,620,882,942
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Solution
The fourth proportional to 45,512,901,916,560, 62,807,851,128,288 and 24,702,620,882,942 is: 34,089,642,047,848.30
Step by Step Solution
- Step 1: Write the proportion equation
45,512,901,916,560 : 62,807,851,128,288 = 24,702,620,882,942 : x - Step 2: Convert to fraction form
45,512,901,916,560/62,807,851,128,288 = 24,702,620,882,942/x - Step 3: Cross multiply
45,512,901,916,560x = 62,807,851,128,288 × 24,702,620,882,942 - Step 4: Simplify right side
45,512,901,916,560x = 1,551,518,534,894,359,447,984,930,816 - Step 5: Solve for x
x = 1,551,518,534,894,359,447,984,930,816/45,512,901,916,560 - Step 6: Final answer
x = 34,089,642,047,848.30
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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.