Finding the Fourth Proportional to 14,245,260,064,120, 21,271,962,293,484 and 11,633,642,274,748
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Solution
The fourth proportional to 14,245,260,064,120, 21,271,962,293,484 and 11,633,642,274,748 is: 17,372,122,284,213.87
Step by Step Solution
- Step 1: Write the proportion equation
14,245,260,064,120 : 21,271,962,293,484 = 11,633,642,274,748 : x - Step 2: Convert to fraction form
14,245,260,064,120/21,271,962,293,484 = 11,633,642,274,748/x - Step 3: Cross multiply
14,245,260,064,120x = 21,271,962,293,484 × 11,633,642,274,748 - Step 4: Simplify right side
14,245,260,064,120x = 247,470,399,804,320,900,813,160,448 - Step 5: Solve for x
x = 247,470,399,804,320,900,813,160,448/14,245,260,064,120 - Step 6: Final answer
x = 17,372,122,284,213.87
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.