Finding the Fourth Proportional to 1,566,248,625,272.10, 2,161,423,206,814.30 and 871,774,279,307.13
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Solution
The fourth proportional to 1,566,248,625,272.10, 2,161,423,206,814.30 and 871,774,279,307.13 is: 1,203,048,563,296.20
Step by Step Solution
- Step 1: Write the proportion equation
1,566,248,625,272.10 : 2,161,423,206,814.30 = 871,774,279,307.13 : x - Step 2: Convert to fraction form
1,566,248,625,272.10/2,161,423,206,814.30 = 871,774,279,307.13/x - Step 3: Cross multiply
1,566,248,625,272.10x = 2,161,423,206,814.30 × 871,774,279,307.13 - Step 4: Simplify right side
1,566,248,625,272.10x = 1,884,273,158,398,242,157,756,416 - Step 5: Solve for x
x = 1,884,273,158,398,242,157,756,416/1,566,248,625,272.10 - Step 6: Final answer
x = 1,203,048,563,296.20
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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.