Finding the Fourth Proportional to 177,159,551,735.11, 244,453,881,807.23 and 107,598,994,601.80
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Solution
The fourth proportional to 177,159,551,735.11, 244,453,881,807.23 and 107,598,994,601.80 is: 148,470,639,326.82
Step by Step Solution
- Step 1: Write the proportion equation
177,159,551,735.11 : 244,453,881,807.23 = 107,598,994,601.80 : x - Step 2: Convert to fraction form
177,159,551,735.11/244,453,881,807.23 = 107,598,994,601.80/x - Step 3: Cross multiply
177,159,551,735.11x = 244,453,881,807.23 × 107,598,994,601.80 - Step 4: Simplify right side
177,159,551,735.11x = 26,302,991,908,965,195,972,608 - Step 5: Solve for x
x = 26,302,991,908,965,195,972,608/177,159,551,735.11 - Step 6: Final answer
x = 148,470,639,326.82
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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.