Finding the Fourth Proportional to 4,096,075,897.88, 5,652,599,727.32 and 2,216,481,201.08
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Solution
The fourth proportional to 4,096,075,897.88, 5,652,599,727.32 and 2,216,481,201.08 is: 3,058,752,167.97
Step by Step Solution
- Step 1: Write the proportion equation
4,096,075,897.88 : 5,652,599,727.32 = 2,216,481,201.08 : x - Step 2: Convert to fraction form
4,096,075,897.88/5,652,599,727.32 = 2,216,481,201.08/x - Step 3: Cross multiply
4,096,075,897.88x = 5,652,599,727.32 × 2,216,481,201.08 - Step 4: Simplify right side
4,096,075,897.88x = 12,528,881,032,795,367,424 - Step 5: Solve for x
x = 12,528,881,032,795,367,424/4,096,075,897.88 - Step 6: Final answer
x = 3,058,752,167.97
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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.