Finding the Fourth Proportional to 5,452,322,311.20, 8,178,483,419.52 and 1,311,765,786.72
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Solution
The fourth proportional to 5,452,322,311.20, 8,178,483,419.52 and 1,311,765,786.72 is: 1,967,648,668.70
Step by Step Solution
- Step 1: Write the proportion equation
5,452,322,311.20 : 8,178,483,419.52 = 1,311,765,786.72 : x - Step 2: Convert to fraction form
5,452,322,311.20/8,178,483,419.52 = 1,311,765,786.72/x - Step 3: Cross multiply
5,452,322,311.20x = 8,178,483,419.52 × 1,311,765,786.72 - Step 4: Simplify right side
5,452,322,311.20x = 10,728,254,736,983,130,112 - Step 5: Solve for x
x = 10,728,254,736,983,130,112/5,452,322,311.20 - Step 6: Final answer
x = 1,967,648,668.70
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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.