Finding the Fourth Proportional to 458,871,507,728.24, 633,244,649,364.05 and 250,302,975,535.09
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Solution
The fourth proportional to 458,871,507,728.24, 633,244,649,364.05 and 250,302,975,535.09 is: 345,419,180,114.73
Step by Step Solution
- Step 1: Write the proportion equation
458,871,507,728.24 : 633,244,649,364.05 = 250,302,975,535.09 : x - Step 2: Convert to fraction form
458,871,507,728.24/633,244,649,364.05 = 250,302,975,535.09/x - Step 3: Cross multiply
458,871,507,728.24x = 633,244,649,364.05 × 250,302,975,535.09 - Step 4: Simplify right side
458,871,507,728.24x = 158,503,019,977,496,456,069,120 - Step 5: Solve for x
x = 158,503,019,977,496,456,069,120/458,871,507,728.24 - Step 6: Final answer
x = 345,419,180,114.73
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.