Finding the Fourth Proportional to 3,036,567,967,636, 4,190,584,612,199.60 and 1,666,392,452,902.10
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Solution
The fourth proportional to 3,036,567,967,636, 4,190,584,612,199.60 and 1,666,392,452,902.10 is: 2,299,687,886,272.99
Step by Step Solution
- Step 1: Write the proportion equation
3,036,567,967,636 : 4,190,584,612,199.60 = 1,666,392,452,902.10 : x - Step 2: Convert to fraction form
3,036,567,967,636/4,190,584,612,199.60 = 1,666,392,452,902.10/x - Step 3: Cross multiply
3,036,567,967,636x = 4,190,584,612,199.60 × 1,666,392,452,902.10 - Step 4: Simplify right side
3,036,567,967,636x = 6,983,158,571,017,087,714,590,720 - Step 5: Solve for x
x = 6,983,158,571,017,087,714,590,720/3,036,567,967,636 - Step 6: Final answer
x = 2,299,687,886,272.99
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.