Finding the Fourth Proportional to 149,120,466,682.71, 205,786,236,152.11 and 80,531,873,197.23
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Solution
The fourth proportional to 149,120,466,682.71, 205,786,236,152.11 and 80,531,873,197.23 is: 111,133,980,762.00
Step by Step Solution
- Step 1: Write the proportion equation
149,120,466,682.71 : 205,786,236,152.11 = 80,531,873,197.23 : x - Step 2: Convert to fraction form
149,120,466,682.71/205,786,236,152.11 = 80,531,873,197.23/x - Step 3: Cross multiply
149,120,466,682.71x = 205,786,236,152.11 × 80,531,873,197.23 - Step 4: Simplify right side
149,120,466,682.71x = 16,572,351,075,536,949,215,232 - Step 5: Solve for x
x = 16,572,351,075,536,949,215,232/149,120,466,682.71 - Step 6: Final answer
x = 111,133,980,762.00
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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.