Finding the Fourth Proportional to 133,530,320,203.20, 200,295,480,304.80 and 132,600,511,029.60
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Solution
The fourth proportional to 133,530,320,203.20, 200,295,480,304.80 and 132,600,511,029.60 is: 198,900,766,544.40
Step by Step Solution
- Step 1: Write the proportion equation
133,530,320,203.20 : 200,295,480,304.80 = 132,600,511,029.60 : x - Step 2: Convert to fraction form
133,530,320,203.20/200,295,480,304.80 = 132,600,511,029.60/x - Step 3: Cross multiply
133,530,320,203.20x = 200,295,480,304.80 × 132,600,511,029.60 - Step 4: Simplify right side
133,530,320,203.20x = 26,559,283,045,335,660,756,992 - Step 5: Solve for x
x = 26,559,283,045,335,660,756,992/133,530,320,203.20 - Step 6: Final answer
x = 198,900,766,544.40
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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.