Finding the Fourth Proportional to 1,566,248,625,194, 2,161,423,206,706.40 and 871,774,279,229.08
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Solution
The fourth proportional to 1,566,248,625,194, 2,161,423,206,706.40 and 871,774,279,229.08 is: 1,203,048,563,188.42
Step by Step Solution
- Step 1: Write the proportion equation
1,566,248,625,194 : 2,161,423,206,706.40 = 871,774,279,229.08 : x - Step 2: Convert to fraction form
1,566,248,625,194/2,161,423,206,706.40 = 871,774,279,229.08/x - Step 3: Cross multiply
1,566,248,625,194x = 2,161,423,206,706.40 × 871,774,279,229.08 - Step 4: Simplify right side
1,566,248,625,194x = 1,884,273,158,135,478,474,506,240 - Step 5: Solve for x
x = 1,884,273,158,135,478,474,506,240/1,566,248,625,194 - Step 6: Final answer
x = 1,203,048,563,188.42
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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.