Finding the Fourth Proportional to 2,681,257,190.30, 3,700,647,206.49 and 1,775,415,409.46
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Solution
The fourth proportional to 2,681,257,190.30, 3,700,647,206.49 and 1,775,415,409.46 is: 2,450,412,477.83
Step by Step Solution
- Step 1: Write the proportion equation
2,681,257,190.30 : 3,700,647,206.49 = 1,775,415,409.46 : x - Step 2: Convert to fraction form
2,681,257,190.30/3,700,647,206.49 = 1,775,415,409.46/x - Step 3: Cross multiply
2,681,257,190.30x = 3,700,647,206.49 × 1,775,415,409.46 - Step 4: Simplify right side
2,681,257,190.30x = 6,570,186,075,400,478,720 - Step 5: Solve for x
x = 6,570,186,075,400,478,720/2,681,257,190.30 - Step 6: Final answer
x = 2,450,412,477.83
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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.