Finding the Fourth Proportional to 8,106,263,545,140.20, 11,186,862,148,258 and 4,769,327,237,265.20
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Solution
The fourth proportional to 8,106,263,545,140.20, 11,186,862,148,258 and 4,769,327,237,265.20 is: 6,581,800,116,183.52
Step by Step Solution
- Step 1: Write the proportion equation
8,106,263,545,140.20 : 11,186,862,148,258 = 4,769,327,237,265.20 : x - Step 2: Convert to fraction form
8,106,263,545,140.20/11,186,862,148,258 = 4,769,327,237,265.20/x - Step 3: Cross multiply
8,106,263,545,140.20x = 11,186,862,148,258 × 4,769,327,237,265.20 - Step 4: Simplify right side
8,106,263,545,140.20x = 53,353,806,343,217,969,146,888,192 - Step 5: Solve for x
x = 53,353,806,343,217,969,146,888,192/8,106,263,545,140.20 - Step 6: Final answer
x = 6,581,800,116,183.52
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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.