Finding the Fourth Proportional to 24,565,841,032,276, 33,901,926,273,022 and 13,604,044,647,606
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Solution
The fourth proportional to 24,565,841,032,276, 33,901,926,273,022 and 13,604,044,647,606 is: 18,774,171,747,349.62
Step by Step Solution
- Step 1: Write the proportion equation
24,565,841,032,276 : 33,901,926,273,022 = 13,604,044,647,606 : x - Step 2: Convert to fraction form
24,565,841,032,276/33,901,926,273,022 = 13,604,044,647,606/x - Step 3: Cross multiply
24,565,841,032,276x = 33,901,926,273,022 × 13,604,044,647,606 - Step 4: Simplify right side
24,565,841,032,276x = 461,203,318,658,038,139,673,640,960 - Step 5: Solve for x
x = 461,203,318,658,038,139,673,640,960/24,565,841,032,276 - Step 6: Final answer
x = 18,774,171,747,349.62
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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.