Finding the Fourth Proportional to 1,634,678,040,922.10, 2,255,856,601,559.60 and 882,967,121,476.75
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Solution
The fourth proportional to 1,634,678,040,922.10, 2,255,856,601,559.60 and 882,967,121,476.75 is: 1,218,495,116,518.38
Step by Step Solution
- Step 1: Write the proportion equation
1,634,678,040,922.10 : 2,255,856,601,559.60 = 882,967,121,476.75 : x - Step 2: Convert to fraction form
1,634,678,040,922.10/2,255,856,601,559.60 = 882,967,121,476.75/x - Step 3: Cross multiply
1,634,678,040,922.10x = 2,255,856,601,559.60 × 882,967,121,476.75 - Step 4: Simplify right side
1,634,678,040,922.10x = 1,991,847,209,943,403,922,980,864 - Step 5: Solve for x
x = 1,991,847,209,943,403,922,980,864/1,634,678,040,922.10 - Step 6: Final answer
x = 1,218,495,116,518.38
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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.