Finding the Fourth Proportional to 13,764,994,487,894, 20,637,312,741,810 and 8,324,411,802,274
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Solution
The fourth proportional to 13,764,994,487,894, 20,637,312,741,810 and 8,324,411,802,274 is: 12,480,461,935,980.52
Step by Step Solution
- Step 1: Write the proportion equation
13,764,994,487,894 : 20,637,312,741,810 = 8,324,411,802,274 : x - Step 2: Convert to fraction form
13,764,994,487,894/20,637,312,741,810 = 8,324,411,802,274/x - Step 3: Cross multiply
13,764,994,487,894x = 20,637,312,741,810 × 8,324,411,802,274 - Step 4: Simplify right side
13,764,994,487,894x = 171,793,489,755,142,782,495,752,192 - Step 5: Solve for x
x = 171,793,489,755,142,782,495,752,192/13,764,994,487,894 - Step 6: Final answer
x = 12,480,461,935,980.52
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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.