Finding the Fourth Proportional to 338,625,173,858.96, 467,312,663,127.68 and 184,310,848,282.18
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Solution
The fourth proportional to 338,625,173,858.96, 467,312,663,127.68 and 184,310,848,282.18 is: 254,354,371,745.38
Step by Step Solution
- Step 1: Write the proportion equation
338,625,173,858.96 : 467,312,663,127.68 = 184,310,848,282.18 : x - Step 2: Convert to fraction form
338,625,173,858.96/467,312,663,127.68 = 184,310,848,282.18/x - Step 3: Cross multiply
338,625,173,858.96x = 467,312,663,127.68 × 184,310,848,282.18 - Step 4: Simplify right side
338,625,173,858.96x = 86,130,793,354,067,315,785,728 - Step 5: Solve for x
x = 86,130,793,354,067,315,785,728/338,625,173,858.96 - Step 6: Final answer
x = 254,354,371,745.38
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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.