Finding the Fourth Proportional to 24,565,841,029,533, 33,901,926,269,238 and 13,604,044,644,862
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Solution
The fourth proportional to 24,565,841,029,533, 33,901,926,269,238 and 13,604,044,644,862 is: 18,774,171,743,563.59
Step by Step Solution
- Step 1: Write the proportion equation
24,565,841,029,533 : 33,901,926,269,238 = 13,604,044,644,862 : x - Step 2: Convert to fraction form
24,565,841,029,533/33,901,926,269,238 = 13,604,044,644,862/x - Step 3: Cross multiply
24,565,841,029,533x = 33,901,926,269,238 × 13,604,044,644,862 - Step 4: Simplify right side
24,565,841,029,533x = 461,203,318,513,533,587,042,598,912 - Step 5: Solve for x
x = 461,203,318,513,533,587,042,598,912/24,565,841,029,533 - Step 6: Final answer
x = 18,774,171,743,563.59
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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.