Finding the Fourth Proportional to 11,782,895,053,281, 16,258,036,886,808 and 6,579,523,106,863.20
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Solution
The fourth proportional to 11,782,895,053,281, 16,258,036,886,808 and 6,579,523,106,863.20 is: 9,078,425,029,271.66
Step by Step Solution
- Step 1: Write the proportion equation
11,782,895,053,281 : 16,258,036,886,808 = 6,579,523,106,863.20 : x - Step 2: Convert to fraction form
11,782,895,053,281/16,258,036,886,808 = 6,579,523,106,863.20/x - Step 3: Cross multiply
11,782,895,053,281x = 16,258,036,886,808 × 6,579,523,106,863.20 - Step 4: Simplify right side
11,782,895,053,281x = 106,970,129,368,987,488,495,861,760 - Step 5: Solve for x
x = 106,970,129,368,987,488,495,861,760/11,782,895,053,281 - Step 6: Final answer
x = 9,078,425,029,271.66
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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.