Finding the Fourth Proportional to 150,475,101,630.19, 207,655,674,144.65 and 82,809,691,848.26
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Solution
The fourth proportional to 150,475,101,630.19, 207,655,674,144.65 and 82,809,691,848.26 is: 114,277,393,403.74
Step by Step Solution
- Step 1: Write the proportion equation
150,475,101,630.19 : 207,655,674,144.65 = 82,809,691,848.26 : x - Step 2: Convert to fraction form
150,475,101,630.19/207,655,674,144.65 = 82,809,691,848.26/x - Step 3: Cross multiply
150,475,101,630.19x = 207,655,674,144.65 × 82,809,691,848.26 - Step 4: Simplify right side
150,475,101,630.19x = 17,195,902,386,461,156,048,896 - Step 5: Solve for x
x = 17,195,902,386,461,156,048,896/150,475,101,630.19 - Step 6: Final answer
x = 114,277,393,403.74
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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.