Finding the Fourth Proportional to 240,437,503,288.36, 331,834,365,460.74 and 145,391,023,564.84
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Solution
The fourth proportional to 240,437,503,288.36, 331,834,365,460.74 and 145,391,023,564.84 is: 200,658,122,749.11
Step by Step Solution
- Step 1: Write the proportion equation
240,437,503,288.36 : 331,834,365,460.74 = 145,391,023,564.84 : x - Step 2: Convert to fraction form
240,437,503,288.36/331,834,365,460.74 = 145,391,023,564.84/x - Step 3: Cross multiply
240,437,503,288.36x = 331,834,365,460.74 × 145,391,023,564.84 - Step 4: Simplify right side
240,437,503,288.36x = 48,245,738,048,326,176,079,872 - Step 5: Solve for x
x = 48,245,738,048,326,176,079,872/240,437,503,288.36 - Step 6: Final answer
x = 200,658,122,749.11
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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.