Finding the Fourth Proportional to 240,403,275,542.40, 360,674,705,971.20 and 96,908,250,163.20
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Solution
The fourth proportional to 240,403,275,542.40, 360,674,705,971.20 and 96,908,250,163.20 is: 145,390,509,155.65
Step by Step Solution
- Step 1: Write the proportion equation
240,403,275,542.40 : 360,674,705,971.20 = 96,908,250,163.20 : x - Step 2: Convert to fraction form
240,403,275,542.40/360,674,705,971.20 = 96,908,250,163.20/x - Step 3: Cross multiply
240,403,275,542.40x = 360,674,705,971.20 × 96,908,250,163.20 - Step 4: Simplify right side
240,403,275,542.40x = 34,952,354,633,795,655,172,096 - Step 5: Solve for x
x = 34,952,354,633,795,655,172,096/240,403,275,542.40 - Step 6: Final answer
x = 145,390,509,155.65
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1.5x scale
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.