Finding the Fourth Proportional to 1,566,248,625,186.20, 2,161,423,206,695.40 and 871,774,279,221.20
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Solution
The fourth proportional to 1,566,248,625,186.20, 2,161,423,206,695.40 and 871,774,279,221.20 is: 1,203,048,563,177.41
Step by Step Solution
- Step 1: Write the proportion equation
1,566,248,625,186.20 : 2,161,423,206,695.40 = 871,774,279,221.20 : x - Step 2: Convert to fraction form
1,566,248,625,186.20/2,161,423,206,695.40 = 871,774,279,221.20/x - Step 3: Cross multiply
1,566,248,625,186.20x = 2,161,423,206,695.40 × 871,774,279,221.20 - Step 4: Simplify right side
1,566,248,625,186.20x = 1,884,273,158,108,856,925,028,352 - Step 5: Solve for x
x = 1,884,273,158,108,856,925,028,352/1,566,248,625,186.20 - Step 6: Final answer
x = 1,203,048,563,177.41
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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.