Finding the Fourth Proportional to 4,096,075,895.63, 5,652,599,724.20 and 2,216,481,198.83
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Solution
The fourth proportional to 4,096,075,895.63, 5,652,599,724.20 and 2,216,481,198.83 is: 3,058,752,164.86
Step by Step Solution
- Step 1: Write the proportion equation
4,096,075,895.63 : 5,652,599,724.20 = 2,216,481,198.83 : x - Step 2: Convert to fraction form
4,096,075,895.63/5,652,599,724.20 = 2,216,481,198.83/x - Step 3: Cross multiply
4,096,075,895.63x = 5,652,599,724.20 × 2,216,481,198.83 - Step 4: Simplify right side
4,096,075,895.63x = 12,528,881,013,178,220,544 - Step 5: Solve for x
x = 12,528,881,013,178,220,544/4,096,075,895.63 - Step 6: Final answer
x = 3,058,752,164.86
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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.