Finding the Fourth Proportional to 2,097,478,987,700, 2,894,490,198,491.70 and 1,171,546,577,523.10
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Solution
The fourth proportional to 2,097,478,987,700, 2,894,490,198,491.70 and 1,171,546,577,523.10 is: 1,616,717,071,113.81
Step by Step Solution
- Step 1: Write the proportion equation
2,097,478,987,700 : 2,894,490,198,491.70 = 1,171,546,577,523.10 : x - Step 2: Convert to fraction form
2,097,478,987,700/2,894,490,198,491.70 = 1,171,546,577,523.10/x - Step 3: Cross multiply
2,097,478,987,700x = 2,894,490,198,491.70 × 1,171,546,577,523.10 - Step 4: Simplify right side
2,097,478,987,700x = 3,391,030,085,717,109,801,746,432 - Step 5: Solve for x
x = 3,391,030,085,717,109,801,746,432/2,097,478,987,700 - Step 6: Final answer
x = 1,616,717,071,113.81
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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.