Finding the Fourth Proportional to 2,097,478,984,971.50, 2,894,490,194,720.80 and 1,171,546,574,788
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Solution
The fourth proportional to 2,097,478,984,971.50, 2,894,490,194,720.80 and 1,171,546,574,788 is: 1,616,717,067,336.28
Step by Step Solution
- Step 1: Write the proportion equation
2,097,478,984,971.50 : 2,894,490,194,720.80 = 1,171,546,574,788 : x - Step 2: Convert to fraction form
2,097,478,984,971.50/2,894,490,194,720.80 = 1,171,546,574,788/x - Step 3: Cross multiply
2,097,478,984,971.50x = 2,894,490,194,720.80 × 1,171,546,574,788 - Step 4: Simplify right side
2,097,478,984,971.50x = 3,391,030,073,382,604,214,632,448 - Step 5: Solve for x
x = 3,391,030,073,382,604,214,632,448/2,097,478,984,971.50 - Step 6: Final answer
x = 1,616,717,067,336.28
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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.