Finding the Fourth Proportional to 11,782,895,053,278, 16,258,036,886,802 and 6,579,523,106,860.80
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Solution
The fourth proportional to 11,782,895,053,278, 16,258,036,886,802 and 6,579,523,106,860.80 is: 9,078,425,029,267.31
Step by Step Solution
- Step 1: Write the proportion equation
11,782,895,053,278 : 16,258,036,886,802 = 6,579,523,106,860.80 : x - Step 2: Convert to fraction form
11,782,895,053,278/16,258,036,886,802 = 6,579,523,106,860.80/x - Step 3: Cross multiply
11,782,895,053,278x = 16,258,036,886,802 × 6,579,523,106,860.80 - Step 4: Simplify right side
11,782,895,053,278x = 106,970,129,368,908,976,493,690,880 - Step 5: Solve for x
x = 106,970,129,368,908,976,493,690,880/11,782,895,053,278 - Step 6: Final answer
x = 9,078,425,029,267.31
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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.