Finding the Fourth Proportional to 9,940,720,830.15, 13,718,486,290.97 and 5,424,891,457.84
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Solution
The fourth proportional to 9,940,720,830.15, 13,718,486,290.97 and 5,424,891,457.84 is: 7,486,509,315.17
Step by Step Solution
- Step 1: Write the proportion equation
9,940,720,830.15 : 13,718,486,290.97 = 5,424,891,457.84 : x - Step 2: Convert to fraction form
9,940,720,830.15/13,718,486,290.97 = 5,424,891,457.84/x - Step 3: Cross multiply
9,940,720,830.15x = 13,718,486,290.97 × 5,424,891,457.84 - Step 4: Simplify right side
9,940,720,830.15x = 74,421,299,094,378,299,392 - Step 5: Solve for x
x = 74,421,299,094,378,299,392/9,940,720,830.15 - Step 6: Final answer
x = 7,486,509,315.17
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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.