Finding the Fourth Proportional to 1,634,905,344.24, 2,259,120,626.28 and 1,164,189,450.24
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Solution
The fourth proportional to 1,634,905,344.24, 2,259,120,626.28 and 1,164,189,450.24 is: 1,608,682,979.23
Step by Step Solution
- Step 1: Write the proportion equation
1,634,905,344.24 : 2,259,120,626.28 = 1,164,189,450.24 : x - Step 2: Convert to fraction form
1,634,905,344.24/2,259,120,626.28 = 1,164,189,450.24/x - Step 3: Cross multiply
1,634,905,344.24x = 2,259,120,626.28 × 1,164,189,450.24 - Step 4: Simplify right side
1,634,905,344.24x = 2,630,044,399,934,757,888 - Step 5: Solve for x
x = 2,630,044,399,934,757,888/1,634,905,344.24 - Step 6: Final answer
x = 1,608,682,979.23
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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.