Finding the Fourth Proportional to 1,193,341,177,842.90, 1,647,117,230,734.50 and 777,231,929,816.20
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Solution
The fourth proportional to 1,193,341,177,842.90, 1,647,117,230,734.50 and 777,231,929,816.20 is: 1,072,779,627,190.43
Step by Step Solution
- Step 1: Write the proportion equation
1,193,341,177,842.90 : 1,647,117,230,734.50 = 777,231,929,816.20 : x - Step 2: Convert to fraction form
1,193,341,177,842.90/1,647,117,230,734.50 = 777,231,929,816.20/x - Step 3: Cross multiply
1,193,341,177,842.90x = 1,647,117,230,734.50 × 777,231,929,816.20 - Step 4: Simplify right side
1,193,341,177,842.90x = 1,280,192,103,877,290,441,572,352 - Step 5: Solve for x
x = 1,280,192,103,877,290,441,572,352/1,193,341,177,842.90 - Step 6: Final answer
x = 1,072,779,627,190.43
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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.