Finding the Fourth Proportional to 339,460,189,465.92, 468,455,526,043.20 and 185,136,242,075.52
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Solution
The fourth proportional to 339,460,189,465.92, 468,455,526,043.20 and 185,136,242,075.52 is: 255,488,267,438.96
Step by Step Solution
- Step 1: Write the proportion equation
339,460,189,465.92 : 468,455,526,043.20 = 185,136,242,075.52 : x - Step 2: Convert to fraction form
339,460,189,465.92/468,455,526,043.20 = 185,136,242,075.52/x - Step 3: Cross multiply
339,460,189,465.92x = 468,455,526,043.20 × 185,136,242,075.52 - Step 4: Simplify right side
339,460,189,465.92x = 86,728,095,671,148,940,886,016 - Step 5: Solve for x
x = 86,728,095,671,148,940,886,016/339,460,189,465.92 - Step 6: Final answer
x = 255,488,267,438.96
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1.5x scale
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.