Finding the Fourth Proportional to 310,027,017,464.70, 465,040,526,197.05 and 247,264,898,246.70
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Solution
The fourth proportional to 310,027,017,464.70, 465,040,526,197.05 and 247,264,898,246.70 is: 370,897,347,370.05
Step by Step Solution
- Step 1: Write the proportion equation
310,027,017,464.70 : 465,040,526,197.05 = 247,264,898,246.70 : x - Step 2: Convert to fraction form
310,027,017,464.70/465,040,526,197.05 = 247,264,898,246.70/x - Step 3: Cross multiply
310,027,017,464.70x = 465,040,526,197.05 × 247,264,898,246.70 - Step 4: Simplify right side
310,027,017,464.70x = 114,988,198,390,705,395,073,024 - Step 5: Solve for x
x = 114,988,198,390,705,395,073,024/310,027,017,464.70 - Step 6: Final answer
x = 370,897,347,370.05
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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.