Finding the Fourth Proportional to 11,782,895,053,280, 16,258,036,886,806 and 6,579,523,106,862
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Solution
The fourth proportional to 11,782,895,053,280, 16,258,036,886,806 and 6,579,523,106,862 is: 9,078,425,029,269.66
Step by Step Solution
- Step 1: Write the proportion equation
11,782,895,053,280 : 16,258,036,886,806 = 6,579,523,106,862 : x - Step 2: Convert to fraction form
11,782,895,053,280/16,258,036,886,806 = 6,579,523,106,862/x - Step 3: Cross multiply
11,782,895,053,280x = 16,258,036,886,806 × 6,579,523,106,862 - Step 4: Simplify right side
11,782,895,053,280x = 106,970,129,368,954,812,384,673,792 - Step 5: Solve for x
x = 106,970,129,368,954,812,384,673,792/11,782,895,053,280 - Step 6: Final answer
x = 9,078,425,029,269.66
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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.