Finding the Fourth Proportional to 51,145,446,971,351, 76,722,680,513,342 and 14,429,999,492,514
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Solution
The fourth proportional to 51,145,446,971,351, 76,722,680,513,342 and 14,429,999,492,514 is: 21,646,271,690,459.23
Step by Step Solution
- Step 1: Write the proportion equation
51,145,446,971,351 : 76,722,680,513,342 = 14,429,999,492,514 : x - Step 2: Convert to fraction form
51,145,446,971,351/76,722,680,513,342 = 14,429,999,492,514/x - Step 3: Cross multiply
51,145,446,971,351x = 76,722,680,513,342 × 14,429,999,492,514 - Step 4: Simplify right side
51,145,446,971,351x = 1,107,108,240,871,838,821,413,552,128 - Step 5: Solve for x
x = 1,107,108,240,871,838,821,413,552,128/51,145,446,971,351 - Step 6: Final answer
x = 21,646,271,690,459.23
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.