Finding the Fourth Proportional to 16,239,011,161.20, 24,344,432,391.30 and 6,283,602,724.20
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Solution
The fourth proportional to 16,239,011,161.20, 24,344,432,391.30 and 6,283,602,724.20 is: 9,419,954,218.55
Step by Step Solution
- Step 1: Write the proportion equation
16,239,011,161.20 : 24,344,432,391.30 = 6,283,602,724.20 : x - Step 2: Convert to fraction form
16,239,011,161.20/24,344,432,391.30 = 6,283,602,724.20/x - Step 3: Cross multiply
16,239,011,161.20x = 24,344,432,391.30 × 6,283,602,724.20 - Step 4: Simplify right side
16,239,011,161.20x = 152,970,741,693,075,390,464 - Step 5: Solve for x
x = 152,970,741,693,075,390,464/16,239,011,161.20 - Step 6: Final answer
x = 9,419,954,218.55
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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.