Finding the Fourth Proportional to 83,324,927,745.27, 114,991,561,202.94 and 46,703,719,957.68
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Solution
The fourth proportional to 83,324,927,745.27, 114,991,561,202.94 and 46,703,719,957.68 is: 64,452,905,237.87
Step by Step Solution
- Step 1: Write the proportion equation
83,324,927,745.27 : 114,991,561,202.94 = 46,703,719,957.68 : x - Step 2: Convert to fraction form
83,324,927,745.27/114,991,561,202.94 = 46,703,719,957.68/x - Step 3: Cross multiply
83,324,927,745.27x = 114,991,561,202.94 × 46,703,719,957.68 - Step 4: Simplify right side
83,324,927,745.27x = 5,370,533,671,918,530,199,552 - Step 5: Solve for x
x = 5,370,533,671,918,530,199,552/83,324,927,745.27 - Step 6: Final answer
x = 64,452,905,237.87
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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.