Finding the Fourth Proportional to 5,102,253,014.36, 7,041,109,102.62 and 2,755,409,558.36
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Solution
The fourth proportional to 5,102,253,014.36, 7,041,109,102.62 and 2,755,409,558.36 is: 3,802,465,159.65
Step by Step Solution
- Step 1: Write the proportion equation
5,102,253,014.36 : 7,041,109,102.62 = 2,755,409,558.36 : x - Step 2: Convert to fraction form
5,102,253,014.36/7,041,109,102.62 = 2,755,409,558.36/x - Step 3: Cross multiply
5,102,253,014.36x = 7,041,109,102.62 × 2,755,409,558.36 - Step 4: Simplify right side
5,102,253,014.36x = 19,401,139,322,814,750,720 - Step 5: Solve for x
x = 19,401,139,322,814,750,720/5,102,253,014.36 - Step 6: Final answer
x = 3,802,465,159.65
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.