Finding the Fourth Proportional to 234,242,278,028.20, 323,261,162,562.72 and 132,740,788,372.84
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Solution
The fourth proportional to 234,242,278,028.20, 323,261,162,562.72 and 132,740,788,372.84 is: 183,186,152,090.49
Step by Step Solution
- Step 1: Write the proportion equation
234,242,278,028.20 : 323,261,162,562.72 = 132,740,788,372.84 : x - Step 2: Convert to fraction form
234,242,278,028.20/323,261,162,562.72 = 132,740,788,372.84/x - Step 3: Cross multiply
234,242,278,028.20x = 323,261,162,562.72 × 132,740,788,372.84 - Step 4: Simplify right side
234,242,278,028.20x = 42,909,941,568,896,235,470,848 - Step 5: Solve for x
x = 42,909,941,568,896,235,470,848/234,242,278,028.20 - Step 6: Final answer
x = 183,186,152,090.49
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1.5x scale
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.