Finding the Fourth Proportional to 2,986,813,076.40, 4,476,393,239.40 and 2,657,744,809.20
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Solution
The fourth proportional to 2,986,813,076.40, 4,476,393,239.40 and 2,657,744,809.20 is: 3,983,212,404.54
Step by Step Solution
- Step 1: Write the proportion equation
2,986,813,076.40 : 4,476,393,239.40 = 2,657,744,809.20 : x - Step 2: Convert to fraction form
2,986,813,076.40/4,476,393,239.40 = 2,657,744,809.20/x - Step 3: Cross multiply
2,986,813,076.40x = 4,476,393,239.40 × 2,657,744,809.20 - Step 4: Simplify right side
2,986,813,076.40x = 11,897,110,895,953,321,984 - Step 5: Solve for x
x = 11,897,110,895,953,321,984/2,986,813,076.40 - Step 6: Final answer
x = 3,983,212,404.54
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.