Finding the Fourth Proportional to 9,965,644,217.82, 13,746,108,970.98 and 6,391,690,206.75
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Solution
The fourth proportional to 9,965,644,217.82, 13,746,108,970.98 and 6,391,690,206.75 is: 8,816,376,359.66
Step by Step Solution
- Step 1: Write the proportion equation
9,965,644,217.82 : 13,746,108,970.98 = 6,391,690,206.75 : x - Step 2: Convert to fraction form
9,965,644,217.82/13,746,108,970.98 = 6,391,690,206.75/x - Step 3: Cross multiply
9,965,644,217.82x = 13,746,108,970.98 × 6,391,690,206.75 - Step 4: Simplify right side
9,965,644,217.82x = 87,860,870,090,731,175,936 - Step 5: Solve for x
x = 87,860,870,090,731,175,936/9,965,644,217.82 - Step 6: Final answer
x = 8,816,376,359.66
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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.