Finding the Fourth Proportional to 45,861,532,769,210, 63,288,912,800,756 and 24,767,325,182,326
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Solution
The fourth proportional to 45,861,532,769,210, 63,288,912,800,756 and 24,767,325,182,326 is: 34,178,907,444,292.11
Step by Step Solution
- Step 1: Write the proportion equation
45,861,532,769,210 : 63,288,912,800,756 = 24,767,325,182,326 : x - Step 2: Convert to fraction form
45,861,532,769,210/63,288,912,800,756 = 24,767,325,182,326/x - Step 3: Cross multiply
45,861,532,769,210x = 63,288,912,800,756 × 24,767,325,182,326 - Step 4: Simplify right side
45,861,532,769,210x = 1,567,497,083,772,198,350,722,433,024 - Step 5: Solve for x
x = 1,567,497,083,772,198,350,722,433,024/45,861,532,769,210 - Step 6: Final answer
x = 34,178,907,444,292.11
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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.