Finding the Fourth Proportional to 1,255,416,133,799, 1,883,423,494,630.20 and 406,472,919,412.84
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Solution
The fourth proportional to 1,255,416,133,799, 1,883,423,494,630.20 and 406,472,919,412.84 is: 609,806,283,145.67
Step by Step Solution
- Step 1: Write the proportion equation
1,255,416,133,799 : 1,883,423,494,630.20 = 406,472,919,412.84 : x - Step 2: Convert to fraction form
1,255,416,133,799/1,883,423,494,630.20 = 406,472,919,412.84/x - Step 3: Cross multiply
1,255,416,133,799x = 1,883,423,494,630.20 × 406,472,919,412.84 - Step 4: Simplify right side
1,255,416,133,799x = 765,560,646,353,070,810,202,112 - Step 5: Solve for x
x = 765,560,646,353,070,810,202,112/1,255,416,133,799 - Step 6: Final answer
x = 609,806,283,145.67
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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.