Finding the Fourth Proportional to 2,271,055,355.28, 3,407,118,121.74 and 777,103,165.07
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Solution
The fourth proportional to 2,271,055,355.28, 3,407,118,121.74 and 777,103,165.07 is: 1,165,837,842.75
Step by Step Solution
- Step 1: Write the proportion equation
2,271,055,355.28 : 3,407,118,121.74 = 777,103,165.07 : x - Step 2: Convert to fraction form
2,271,055,355.28/3,407,118,121.74 = 777,103,165.07/x - Step 3: Cross multiply
2,271,055,355.28x = 3,407,118,121.74 × 777,103,165.07 - Step 4: Simplify right side
2,271,055,355.28x = 2,647,682,276,154,471,936 - Step 5: Solve for x
x = 2,647,682,276,154,471,936/2,271,055,355.28 - Step 6: Final answer
x = 1,165,837,842.75
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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.