Finding the Fourth Proportional to 144,260,381,966.40, 201,551,752,324.80 and 144,260,381,966.40
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Solution
The fourth proportional to 144,260,381,966.40, 201,551,752,324.80 and 144,260,381,966.40 is: 201,551,752,324.80
Step by Step Solution
- Step 1: Write the proportion equation
144,260,381,966.40 : 201,551,752,324.80 = 144,260,381,966.40 : x - Step 2: Convert to fraction form
144,260,381,966.40/201,551,752,324.80 = 144,260,381,966.40/x - Step 3: Cross multiply
144,260,381,966.40x = 201,551,752,324.80 × 144,260,381,966.40 - Step 4: Simplify right side
144,260,381,966.40x = 29,075,932,776,372,895,744,000 - Step 5: Solve for x
x = 29,075,932,776,372,895,744,000/144,260,381,966.40 - Step 6: Final answer
x = 201,551,752,324.80
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.