Finding the Fourth Proportional to 2,912,647,570.23, 4,020,546,706.55 and 1,909,129,807.75
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Solution
The fourth proportional to 2,912,647,570.23, 4,020,546,706.55 and 1,909,129,807.75 is: 2,635,315,593.75
Step by Step Solution
- Step 1: Write the proportion equation
2,912,647,570.23 : 4,020,546,706.55 = 1,909,129,807.75 : x - Step 2: Convert to fraction form
2,912,647,570.23/4,020,546,706.55 = 1,909,129,807.75/x - Step 3: Cross multiply
2,912,647,570.23x = 4,020,546,706.55 × 1,909,129,807.75 - Step 4: Simplify right side
2,912,647,570.23x = 7,675,745,560,925,697,024 - Step 5: Solve for x
x = 7,675,745,560,925,697,024/2,912,647,570.23 - Step 6: Final answer
x = 2,635,315,593.75
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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.