Finding the Fourth Proportional to 2,201,444,012.16, 3,302,166,010.68 and 802,533,194.64
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Solution
The fourth proportional to 2,201,444,012.16, 3,302,166,010.68 and 802,533,194.64 is: 1,203,799,789.20
Step by Step Solution
- Step 1: Write the proportion equation
2,201,444,012.16 : 3,302,166,010.68 = 802,533,194.64 : x - Step 2: Convert to fraction form
2,201,444,012.16/3,302,166,010.68 = 802,533,194.64/x - Step 3: Cross multiply
2,201,444,012.16x = 3,302,166,010.68 × 802,533,194.64 - Step 4: Simplify right side
2,201,444,012.16x = 2,650,097,837,782,644,736 - Step 5: Solve for x
x = 2,650,097,837,782,644,736/2,201,444,012.16 - Step 6: Final answer
x = 1,203,799,789.20
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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.