Finding the Fourth Proportional to 8,106,263,545,136.70, 11,186,862,148,254 and 4,769,327,237,261.70
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Solution
The fourth proportional to 8,106,263,545,136.70, 11,186,862,148,254 and 4,769,327,237,261.70 is: 6,581,800,116,179.17
Step by Step Solution
- Step 1: Write the proportion equation
8,106,263,545,136.70 : 11,186,862,148,254 = 4,769,327,237,261.70 : x - Step 2: Convert to fraction form
8,106,263,545,136.70/11,186,862,148,254 = 4,769,327,237,261.70/x - Step 3: Cross multiply
8,106,263,545,136.70x = 11,186,862,148,254 × 4,769,327,237,261.70 - Step 4: Simplify right side
8,106,263,545,136.70x = 53,353,806,343,159,737,980,289,024 - Step 5: Solve for x
x = 53,353,806,343,159,737,980,289,024/8,106,263,545,136.70 - Step 6: Final answer
x = 6,581,800,116,179.17
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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.