Finding the Fourth Proportional to 220,438,373,339.36, 330,388,929,586.80 and 114,261,903,503.84
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Solution
The fourth proportional to 220,438,373,339.36, 330,388,929,586.80 and 114,261,903,503.84 is: 171,253,613,512.51
Step by Step Solution
- Step 1: Write the proportion equation
220,438,373,339.36 : 330,388,929,586.80 = 114,261,903,503.84 : x - Step 2: Convert to fraction form
220,438,373,339.36/330,388,929,586.80 = 114,261,903,503.84/x - Step 3: Cross multiply
220,438,373,339.36x = 330,388,929,586.80 × 114,261,903,503.84 - Step 4: Simplify right side
220,438,373,339.36x = 37,750,867,991,183,927,279,616 - Step 5: Solve for x
x = 37,750,867,991,183,927,279,616/220,438,373,339.36 - Step 6: Final answer
x = 171,253,613,512.51
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1.5x scale
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.