Finding the Fourth Proportional to 4,700,018,337,974, 7,053,247,860,442.90 and 1,640,370,939,737.60
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Solution
The fourth proportional to 4,700,018,337,974, 7,053,247,860,442.90 and 1,640,370,939,737.60 is: 2,461,680,357,192.88
Step by Step Solution
- Step 1: Write the proportion equation
4,700,018,337,974 : 7,053,247,860,442.90 = 1,640,370,939,737.60 : x - Step 2: Convert to fraction form
4,700,018,337,974/7,053,247,860,442.90 = 1,640,370,939,737.60/x - Step 3: Cross multiply
4,700,018,337,974x = 7,053,247,860,442.90 × 1,640,370,939,737.60 - Step 4: Simplify right side
4,700,018,337,974x = 11,569,942,821,036,938,342,957,056 - Step 5: Solve for x
x = 11,569,942,821,036,938,342,957,056/4,700,018,337,974 - Step 6: Final answer
x = 2,461,680,357,192.88
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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.