Finding the Fourth Proportional to 2,055,770,552,612, 2,837,031,398,921.20 and 1,129,857,449,134.90
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Solution
The fourth proportional to 2,055,770,552,612, 2,837,031,398,921.20 and 1,129,857,449,134.90 is: 1,559,240,672,762.82
Step by Step Solution
- Step 1: Write the proportion equation
2,055,770,552,612 : 2,837,031,398,921.20 = 1,129,857,449,134.90 : x - Step 2: Convert to fraction form
2,055,770,552,612/2,837,031,398,921.20 = 1,129,857,449,134.90/x - Step 3: Cross multiply
2,055,770,552,612x = 2,837,031,398,921.20 × 1,129,857,449,134.90 - Step 4: Simplify right side
2,055,770,552,612x = 3,205,441,059,500,723,961,593,856 - Step 5: Solve for x
x = 3,205,441,059,500,723,961,593,856/2,055,770,552,612 - Step 6: Final answer
x = 1,559,240,672,762.82
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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.