Finding the Fourth Proportional to 15,772,397,743,407, 21,765,892,378,154 and 8,835,684,797,301
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Solution
The fourth proportional to 15,772,397,743,407, 21,765,892,378,154 and 8,835,684,797,301 is: 12,193,235,772,648.14
Step by Step Solution
- Step 1: Write the proportion equation
15,772,397,743,407 : 21,765,892,378,154 = 8,835,684,797,301 : x - Step 2: Convert to fraction form
15,772,397,743,407/21,765,892,378,154 = 8,835,684,797,301/x - Step 3: Cross multiply
15,772,397,743,407x = 21,765,892,378,154 × 8,835,684,797,301 - Step 4: Simplify right side
15,772,397,743,407x = 192,316,564,385,344,996,933,369,856 - Step 5: Solve for x
x = 192,316,564,385,344,996,933,369,856/15,772,397,743,407 - Step 6: Final answer
x = 12,193,235,772,648.14
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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.