Finding the Fourth Proportional to 1,566,248,625,186.70, 2,161,423,206,696.20 and 871,774,279,221.80
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Solution
The fourth proportional to 1,566,248,625,186.70, 2,161,423,206,696.20 and 871,774,279,221.80 is: 1,203,048,563,178.30
Step by Step Solution
- Step 1: Write the proportion equation
1,566,248,625,186.70 : 2,161,423,206,696.20 = 871,774,279,221.80 : x - Step 2: Convert to fraction form
1,566,248,625,186.70/2,161,423,206,696.20 = 871,774,279,221.80/x - Step 3: Cross multiply
1,566,248,625,186.70x = 2,161,423,206,696.20 × 871,774,279,221.80 - Step 4: Simplify right side
1,566,248,625,186.70x = 1,884,273,158,110,851,400,466,432 - Step 5: Solve for x
x = 1,884,273,158,110,851,400,466,432/1,566,248,625,186.70 - Step 6: Final answer
x = 1,203,048,563,178.30
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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.