Finding the Fourth Proportional to 155,096,912,289.24, 232,319,567,821.10 and 98,407,595,161.80
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Solution
The fourth proportional to 155,096,912,289.24, 232,319,567,821.10 and 98,407,595,161.80 is: 147,404,675,185.72
Step by Step Solution
- Step 1: Write the proportion equation
155,096,912,289.24 : 232,319,567,821.10 = 98,407,595,161.80 : x - Step 2: Convert to fraction form
155,096,912,289.24/232,319,567,821.10 = 98,407,595,161.80/x - Step 3: Cross multiply
155,096,912,289.24x = 232,319,567,821.10 × 98,407,595,161.80 - Step 4: Simplify right side
155,096,912,289.24x = 22,862,009,978,303,146,885,120 - Step 5: Solve for x
x = 22,862,009,978,303,146,885,120/155,096,912,289.24 - Step 6: Final answer
x = 147,404,675,185.72
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.