Finding the Fourth Proportional to 1,353,198,390,942.80, 2,030,691,824,496.70 and 637,107,126,370.48
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Solution
The fourth proportional to 1,353,198,390,942.80, 2,030,691,824,496.70 and 637,107,126,370.48 is: 956,081,710,936.51
Step by Step Solution
- Step 1: Write the proportion equation
1,353,198,390,942.80 : 2,030,691,824,496.70 = 637,107,126,370.48 : x - Step 2: Convert to fraction form
1,353,198,390,942.80/2,030,691,824,496.70 = 637,107,126,370.48/x - Step 3: Cross multiply
1,353,198,390,942.80x = 2,030,691,824,496.70 × 637,107,126,370.48 - Step 4: Simplify right side
1,353,198,390,942.80x = 1,293,768,232,849,119,631,114,240 - Step 5: Solve for x
x = 1,293,768,232,849,119,631,114,240/1,353,198,390,942.80 - Step 6: Final answer
x = 956,081,710,936.51
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.