Finding the Fourth Proportional to 1,566,248,625,185.70, 2,161,423,206,694.80 and 871,774,279,220.79
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Solution
The fourth proportional to 1,566,248,625,185.70, 2,161,423,206,694.80 and 871,774,279,220.79 is: 1,203,048,563,176.90
Step by Step Solution
- Step 1: Write the proportion equation
1,566,248,625,185.70 : 2,161,423,206,694.80 = 871,774,279,220.79 : x - Step 2: Convert to fraction form
1,566,248,625,185.70/2,161,423,206,694.80 = 871,774,279,220.79/x - Step 3: Cross multiply
1,566,248,625,185.70x = 2,161,423,206,694.80 × 871,774,279,220.79 - Step 4: Simplify right side
1,566,248,625,185.70x = 1,884,273,158,107,447,907,319,808 - Step 5: Solve for x
x = 1,884,273,158,107,447,907,319,808/1,566,248,625,185.70 - Step 6: Final answer
x = 1,203,048,563,176.90
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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.