Finding the Fourth Proportional to 24,565,835,224,206, 33,901,918,257,872 and 13,604,038,839,540
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Solution
The fourth proportional to 24,565,835,224,206, 33,901,918,257,872 and 13,604,038,839,540 is: 18,774,163,732,098.70
Step by Step Solution
- Step 1: Write the proportion equation
24,565,835,224,206 : 33,901,918,257,872 = 13,604,038,839,540 : x - Step 2: Convert to fraction form
24,565,835,224,206/33,901,918,257,872 = 13,604,038,839,540/x - Step 3: Cross multiply
24,565,835,224,206x = 33,901,918,257,872 × 13,604,038,839,540 - Step 4: Simplify right side
24,565,835,224,206x = 461,203,012,715,000,942,661,992,448 - Step 5: Solve for x
x = 461,203,012,715,000,942,661,992,448/24,565,835,224,206 - Step 6: Final answer
x = 18,774,163,732,098.70
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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.