Finding the Fourth Proportional to 1,193,341,177,842.40, 1,647,117,230,733.80 and 777,231,929,815.60
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Solution
The fourth proportional to 1,193,341,177,842.40, 1,647,117,230,733.80 and 777,231,929,815.60 is: 1,072,779,627,189.59
Step by Step Solution
- Step 1: Write the proportion equation
1,193,341,177,842.40 : 1,647,117,230,733.80 = 777,231,929,815.60 : x - Step 2: Convert to fraction form
1,193,341,177,842.40/1,647,117,230,733.80 = 777,231,929,815.60/x - Step 3: Cross multiply
1,193,341,177,842.40x = 1,647,117,230,733.80 × 777,231,929,815.60 - Step 4: Simplify right side
1,193,341,177,842.40x = 1,280,192,103,875,758,211,989,504 - Step 5: Solve for x
x = 1,280,192,103,875,758,211,989,504/1,193,341,177,842.40 - Step 6: Final answer
x = 1,072,779,627,189.59
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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.