Finding the Fourth Proportional to 4,096,075,926.94, 5,652,599,767.41 and 2,216,481,230.14
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Solution
The fourth proportional to 4,096,075,926.94, 5,652,599,767.41 and 2,216,481,230.14 is: 3,058,752,208.07
Step by Step Solution
- Step 1: Write the proportion equation
4,096,075,926.94 : 5,652,599,767.41 = 2,216,481,230.14 : x - Step 2: Convert to fraction form
4,096,075,926.94/5,652,599,767.41 = 2,216,481,230.14/x - Step 3: Cross multiply
4,096,075,926.94x = 5,652,599,767.41 × 2,216,481,230.14 - Step 4: Simplify right side
4,096,075,926.94x = 12,528,881,285,952,063,488 - Step 5: Solve for x
x = 12,528,881,285,952,063,488/4,096,075,926.94 - Step 6: Final answer
x = 3,058,752,208.07
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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.