Finding the Fourth Proportional to 245,433,750,392.24, 338,932,494,894.12 and 232,062,673,487.12
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Solution
The fourth proportional to 245,433,750,392.24, 338,932,494,894.12 and 232,062,673,487.12 is: 320,467,664,985.31
Step by Step Solution
- Step 1: Write the proportion equation
245,433,750,392.24 : 338,932,494,894.12 = 232,062,673,487.12 : x - Step 2: Convert to fraction form
245,433,750,392.24/338,932,494,894.12 = 232,062,673,487.12/x - Step 3: Cross multiply
245,433,750,392.24x = 338,932,494,894.12 × 232,062,673,487.12 - Step 4: Simplify right side
245,433,750,392.24x = 78,653,580,896,789,128,544,256 - Step 5: Solve for x
x = 78,653,580,896,789,128,544,256/245,433,750,392.24 - Step 6: Final answer
x = 320,467,664,985.31
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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.