Finding the Fourth Proportional to 326,170,073,506.71, 450,128,652,207.72 and 181,654,180,027.68
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Solution
The fourth proportional to 326,170,073,506.71, 450,128,652,207.72 and 181,654,180,027.68 is: 250,690,538,051.70
Step by Step Solution
- Step 1: Write the proportion equation
326,170,073,506.71 : 450,128,652,207.72 = 181,654,180,027.68 : x - Step 2: Convert to fraction form
326,170,073,506.71/450,128,652,207.72 = 181,654,180,027.68/x - Step 3: Cross multiply
326,170,073,506.71x = 450,128,652,207.72 × 181,654,180,027.68 - Step 4: Simplify right side
326,170,073,506.71x = 81,767,751,223,758,123,171,840 - Step 5: Solve for x
x = 81,767,751,223,758,123,171,840/326,170,073,506.71 - Step 6: Final answer
x = 250,690,538,051.70
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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.