Finding the Fourth Proportional to 230,240,251.44, 345,539,468.16 and 160,701,297.84
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Solution
The fourth proportional to 230,240,251.44, 345,539,468.16 and 160,701,297.84 is: 241,176,947.30
Step by Step Solution
- Step 1: Write the proportion equation
230,240,251.44 : 345,539,468.16 = 160,701,297.84 : x - Step 2: Convert to fraction form
230,240,251.44/345,539,468.16 = 160,701,297.84/x - Step 3: Cross multiply
230,240,251.44x = 345,539,468.16 × 160,701,297.84 - Step 4: Simplify right side
230,240,251.44x = 55,528,640,988,255,360 - Step 5: Solve for x
x = 55,528,640,988,255,360/230,240,251.44 - Step 6: Final answer
x = 241,176,947.30
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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.