Finding the Fourth Proportional to 7,578,218,982.88, 11,311,822,624.50 and 6,683,612,461.12
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Solution
The fourth proportional to 7,578,218,982.88, 11,311,822,624.50 and 6,683,612,461.12 is: 9,976,465,291.10
Step by Step Solution
- Step 1: Write the proportion equation
7,578,218,982.88 : 11,311,822,624.50 = 6,683,612,461.12 : x - Step 2: Convert to fraction form
7,578,218,982.88/11,311,822,624.50 = 6,683,612,461.12/x - Step 3: Cross multiply
7,578,218,982.88x = 11,311,822,624.50 × 6,683,612,461.12 - Step 4: Simplify right side
7,578,218,982.88x = 75,603,838,651,087,339,520 - Step 5: Solve for x
x = 75,603,838,651,087,339,520/7,578,218,982.88 - Step 6: Final answer
x = 9,976,465,291.10
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.