Finding the Fourth Proportional to 2,248,985,702,900.40, 3,372,415,120,419.70 and 871,235,014,090.20
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Solution
The fourth proportional to 2,248,985,702,900.40, 3,372,415,120,419.70 and 871,235,014,090.20 is: 1,306,440,557,255.50
Step by Step Solution
- Step 1: Write the proportion equation
2,248,985,702,900.40 : 3,372,415,120,419.70 = 871,235,014,090.20 : x - Step 2: Convert to fraction form
2,248,985,702,900.40/3,372,415,120,419.70 = 871,235,014,090.20/x - Step 3: Cross multiply
2,248,985,702,900.40x = 3,372,415,120,419.70 × 871,235,014,090.20 - Step 4: Simplify right side
2,248,985,702,900.40x = 2,938,166,134,956,860,681,224,192 - Step 5: Solve for x
x = 2,938,166,134,956,860,681,224,192/2,248,985,702,900.40 - Step 6: Final answer
x = 1,306,440,557,255.50
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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.