Finding the Fourth Proportional to 13,764,994,487,828, 20,637,312,741,706 and 8,324,411,802,207
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Solution
The fourth proportional to 13,764,994,487,828, 20,637,312,741,706 and 8,324,411,802,207 is: 12,480,461,935,877.02
Step by Step Solution
- Step 1: Write the proportion equation
13,764,994,487,828 : 20,637,312,741,706 = 8,324,411,802,207 : x - Step 2: Convert to fraction form
13,764,994,487,828/20,637,312,741,706 = 8,324,411,802,207/x - Step 3: Cross multiply
13,764,994,487,828x = 20,637,312,741,706 × 8,324,411,802,207 - Step 4: Simplify right side
13,764,994,487,828x = 171,793,489,752,894,315,576,688,640 - Step 5: Solve for x
x = 171,793,489,752,894,315,576,688,640/13,764,994,487,828 - Step 6: Final answer
x = 12,480,461,935,877.02
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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.