Finding the Fourth Proportional to 1,729,651,024.44, 2,598,615,565.99 and 1,109,082,091.09
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Solution
The fourth proportional to 1,729,651,024.44, 2,598,615,565.99 and 1,109,082,091.09 is: 1,666,277,153.68
Step by Step Solution
- Step 1: Write the proportion equation
1,729,651,024.44 : 2,598,615,565.99 = 1,109,082,091.09 : x - Step 2: Convert to fraction form
1,729,651,024.44/2,598,615,565.99 = 1,109,082,091.09/x - Step 3: Cross multiply
1,729,651,024.44x = 2,598,615,565.99 × 1,109,082,091.09 - Step 4: Simplify right side
1,729,651,024.44x = 2,882,077,985,867,212,800 - Step 5: Solve for x
x = 2,882,077,985,867,212,800/1,729,651,024.44 - Step 6: Final answer
x = 1,666,277,153.68
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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.