Finding the Fourth Proportional to 5,138,857,077.84, 7,706,790,218.75 and 1,990,369,460.05
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Solution
The fourth proportional to 5,138,857,077.84, 7,706,790,218.75 and 1,990,369,460.05 is: 2,984,974,996.20
Step by Step Solution
- Step 1: Write the proportion equation
5,138,857,077.84 : 7,706,790,218.75 = 1,990,369,460.05 : x - Step 2: Convert to fraction form
5,138,857,077.84/7,706,790,218.75 = 1,990,369,460.05/x - Step 3: Cross multiply
5,138,857,077.84x = 7,706,790,218.75 × 1,990,369,460.05 - Step 4: Simplify right side
5,138,857,077.84x = 15,339,359,886,382,839,808 - Step 5: Solve for x
x = 15,339,359,886,382,839,808/5,138,857,077.84 - Step 6: Final answer
x = 2,984,974,996.20
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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.