Finding the Fourth Proportional to 24,565,841,032,320, 33,901,926,273,088 and 13,604,044,647,650
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Solution
The fourth proportional to 24,565,841,032,320, 33,901,926,273,088 and 13,604,044,647,650 is: 18,774,171,747,413.27
Step by Step Solution
- Step 1: Write the proportion equation
24,565,841,032,320 : 33,901,926,273,088 = 13,604,044,647,650 : x - Step 2: Convert to fraction form
24,565,841,032,320/33,901,926,273,088 = 13,604,044,647,650/x - Step 3: Cross multiply
24,565,841,032,320x = 33,901,926,273,088 × 13,604,044,647,650 - Step 4: Simplify right side
24,565,841,032,320x = 461,203,318,660,427,722,038,181,888 - Step 5: Solve for x
x = 461,203,318,660,427,722,038,181,888/24,565,841,032,320 - Step 6: Final answer
x = 18,774,171,747,413.27
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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.