Finding the Fourth Proportional to 1,566,248,625,198.90, 2,161,423,206,713.10 and 871,774,279,233.93
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Solution
The fourth proportional to 1,566,248,625,198.90, 2,161,423,206,713.10 and 871,774,279,233.93 is: 1,203,048,563,195.08
Step by Step Solution
- Step 1: Write the proportion equation
1,566,248,625,198.90 : 2,161,423,206,713.10 = 871,774,279,233.93 : x - Step 2: Convert to fraction form
1,566,248,625,198.90/2,161,423,206,713.10 = 871,774,279,233.93/x - Step 3: Cross multiply
1,566,248,625,198.90x = 2,161,423,206,713.10 × 871,774,279,233.93 - Step 4: Simplify right side
1,566,248,625,198.90x = 1,884,273,158,151,802,571,456,512 - Step 5: Solve for x
x = 1,884,273,158,151,802,571,456,512/1,566,248,625,198.90 - Step 6: Final answer
x = 1,203,048,563,195.08
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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.