Finding the Fourth Proportional to 22,134,221,605,230, 30,546,185,981,802 and 12,257,465,094,023
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Solution
The fourth proportional to 22,134,221,605,230, 30,546,185,981,802 and 12,257,465,094,023 is: 16,915,833,549,755.50
Step by Step Solution
- Step 1: Write the proportion equation
22,134,221,605,230 : 30,546,185,981,802 = 12,257,465,094,023 : x - Step 2: Convert to fraction form
22,134,221,605,230/30,546,185,981,802 = 12,257,465,094,023/x - Step 3: Cross multiply
22,134,221,605,230x = 30,546,185,981,802 × 12,257,465,094,023 - Step 4: Simplify right side
22,134,221,605,230x = 374,418,808,427,472,704,604,471,296 - Step 5: Solve for x
x = 374,418,808,427,472,704,604,471,296/22,134,221,605,230 - Step 6: Final answer
x = 16,915,833,549,755.50
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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.