Finding the Fourth Proportional to 227,475,834,236.99, 313,765,498,740 and 146,288,301,847.91
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Solution
The fourth proportional to 227,475,834,236.99, 313,765,498,740 and 146,288,301,847.91 is: 201,780,651,307.85
Step by Step Solution
- Step 1: Write the proportion equation
227,475,834,236.99 : 313,765,498,740 = 146,288,301,847.91 : x - Step 2: Convert to fraction form
227,475,834,236.99/313,765,498,740 = 146,288,301,847.91/x - Step 3: Cross multiply
227,475,834,236.99x = 313,765,498,740 × 146,288,301,847.91 - Step 4: Simplify right side
227,475,834,236.99x = 45,900,221,989,137,149,853,696 - Step 5: Solve for x
x = 45,900,221,989,137,149,853,696/227,475,834,236.99 - Step 6: Final answer
x = 201,780,651,307.85
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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.