Finding the Fourth Proportional to 29,640,575,974,190, 40,904,986,970,840 and 16,472,122,320,292
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Solution
The fourth proportional to 29,640,575,974,190, 40,904,986,970,840 and 16,472,122,320,292 is: 22,732,080,155,268.98
Step by Step Solution
- Step 1: Write the proportion equation
29,640,575,974,190 : 40,904,986,970,840 = 16,472,122,320,292 : x - Step 2: Convert to fraction form
29,640,575,974,190/40,904,986,970,840 = 16,472,122,320,292/x - Step 3: Cross multiply
29,640,575,974,190x = 40,904,986,970,840 × 16,472,122,320,292 - Step 4: Simplify right side
29,640,575,974,190x = 673,791,948,893,626,980,263,526,400 - Step 5: Solve for x
x = 673,791,948,893,626,980,263,526,400/29,640,575,974,190 - Step 6: Final answer
x = 22,732,080,155,268.98
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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.