Finding the Fourth Proportional to 326,170,073,511.21, 450,128,652,213.93 and 181,654,180,032.18
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Solution
The fourth proportional to 326,170,073,511.21, 450,128,652,213.93 and 181,654,180,032.18 is: 250,690,538,057.91
Step by Step Solution
- Step 1: Write the proportion equation
326,170,073,511.21 : 450,128,652,213.93 = 181,654,180,032.18 : x - Step 2: Convert to fraction form
326,170,073,511.21/450,128,652,213.93 = 181,654,180,032.18/x - Step 3: Cross multiply
326,170,073,511.21x = 450,128,652,213.93 × 181,654,180,032.18 - Step 4: Simplify right side
326,170,073,511.21x = 81,767,751,226,911,770,017,792 - Step 5: Solve for x
x = 81,767,751,226,911,770,017,792/326,170,073,511.21 - Step 6: Final answer
x = 250,690,538,057.91
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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.