Finding the Fourth Proportional to 13,764,994,487,829, 20,637,312,741,708 and 8,324,411,802,208
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Solution
The fourth proportional to 13,764,994,487,829, 20,637,312,741,708 and 8,324,411,802,208 is: 12,480,461,935,878.82
Step by Step Solution
- Step 1: Write the proportion equation
13,764,994,487,829 : 20,637,312,741,708 = 8,324,411,802,208 : x - Step 2: Convert to fraction form
13,764,994,487,829/20,637,312,741,708 = 8,324,411,802,208/x - Step 3: Cross multiply
13,764,994,487,829x = 20,637,312,741,708 × 8,324,411,802,208 - Step 4: Simplify right side
13,764,994,487,829x = 171,793,489,752,931,630,252,556,288 - Step 5: Solve for x
x = 171,793,489,752,931,630,252,556,288/13,764,994,487,829 - Step 6: Final answer
x = 12,480,461,935,878.82
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.