Finding the Fourth Proportional to 998,911,427,476.96, 1,378,498,790,130.90 and 542,170,005,614.16
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Solution
The fourth proportional to 998,911,427,476.96, 1,378,498,790,130.90 and 542,170,005,614.16 is: 748,195,161,479.04
Step by Step Solution
- Step 1: Write the proportion equation
998,911,427,476.96 : 1,378,498,790,130.90 = 542,170,005,614.16 : x - Step 2: Convert to fraction form
998,911,427,476.96/1,378,498,790,130.90 = 542,170,005,614.16/x - Step 3: Cross multiply
998,911,427,476.96x = 1,378,498,790,130.90 × 542,170,005,614.16 - Step 4: Simplify right side
998,911,427,476.96x = 747,380,696,784,382,747,213,824 - Step 5: Solve for x
x = 747,380,696,784,382,747,213,824/998,911,427,476.96 - Step 6: Final answer
x = 748,195,161,479.04
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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.