Finding the Fourth Proportional to 3,465,264,768.24, 5,197,889,069.10 and 2,276,245,835.10
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Solution
The fourth proportional to 3,465,264,768.24, 5,197,889,069.10 and 2,276,245,835.10 is: 3,414,363,442.96
Step by Step Solution
- Step 1: Write the proportion equation
3,465,264,768.24 : 5,197,889,069.10 = 2,276,245,835.10 : x - Step 2: Convert to fraction form
3,465,264,768.24/5,197,889,069.10 = 2,276,245,835.10/x - Step 3: Cross multiply
3,465,264,768.24x = 5,197,889,069.10 × 2,276,245,835.10 - Step 4: Simplify right side
3,465,264,768.24x = 11,831,673,344,850,692,096 - Step 5: Solve for x
x = 11,831,673,344,850,692,096/3,465,264,768.24 - Step 6: Final answer
x = 3,414,363,442.96
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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.