Finding the Fourth Proportional to 227,475,834,235.99, 313,765,498,738.62 and 146,288,301,846.91
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Solution
The fourth proportional to 227,475,834,235.99, 313,765,498,738.62 and 146,288,301,846.91 is: 201,780,651,306.47
Step by Step Solution
- Step 1: Write the proportion equation
227,475,834,235.99 : 313,765,498,738.62 = 146,288,301,846.91 : x - Step 2: Convert to fraction form
227,475,834,235.99/313,765,498,738.62 = 146,288,301,846.91/x - Step 3: Cross multiply
227,475,834,235.99x = 313,765,498,738.62 × 146,288,301,846.91 - Step 4: Simplify right side
227,475,834,235.99x = 45,900,221,988,621,502,119,936 - Step 5: Solve for x
x = 45,900,221,988,621,502,119,936/227,475,834,235.99 - Step 6: Final answer
x = 201,780,651,306.47
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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.