Finding the Fourth Proportional to 2,597,415,741.30, 3,896,123,611.95 and 2,413,749,731.70
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Solution
The fourth proportional to 2,597,415,741.30, 3,896,123,611.95 and 2,413,749,731.70 is: 3,620,624,597.55
Step by Step Solution
- Step 1: Write the proportion equation
2,597,415,741.30 : 3,896,123,611.95 = 2,413,749,731.70 : x - Step 2: Convert to fraction form
2,597,415,741.30/3,896,123,611.95 = 2,413,749,731.70/x - Step 3: Cross multiply
2,597,415,741.30x = 3,896,123,611.95 × 2,413,749,731.70 - Step 4: Simplify right side
2,597,415,741.30x = 9,404,267,323,014,346,752 - Step 5: Solve for x
x = 9,404,267,323,014,346,752/2,597,415,741.30 - Step 6: Final answer
x = 3,620,624,597.55
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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.