Finding the Fourth Proportional to 11,782,895,053,281, 16,258,036,886,805 and 6,579,523,106,864
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Solution
The fourth proportional to 11,782,895,053,281, 16,258,036,886,805 and 6,579,523,106,864 is: 9,078,425,029,271.09
Step by Step Solution
- Step 1: Write the proportion equation
11,782,895,053,281 : 16,258,036,886,805 = 6,579,523,106,864 : x - Step 2: Convert to fraction form
11,782,895,053,281/16,258,036,886,805 = 6,579,523,106,864/x - Step 3: Cross multiply
11,782,895,053,281x = 16,258,036,886,805 × 6,579,523,106,864 - Step 4: Simplify right side
11,782,895,053,281x = 106,970,129,368,980,753,987,141,632 - Step 5: Solve for x
x = 106,970,129,368,980,753,987,141,632/11,782,895,053,281 - Step 6: Final answer
x = 9,078,425,029,271.09
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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.