Finding the Fourth Proportional to 5,306,539,684,006, 7,960,605,413,712.80 and 1,863,829,565,805.60
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Solution
The fourth proportional to 5,306,539,684,006, 7,960,605,413,712.80 and 1,863,829,565,805.60 is: 2,796,023,890,391.26
Step by Step Solution
- Step 1: Write the proportion equation
5,306,539,684,006 : 7,960,605,413,712.80 = 1,863,829,565,805.60 : x - Step 2: Convert to fraction form
5,306,539,684,006/7,960,605,413,712.80 = 1,863,829,565,805.60/x - Step 3: Cross multiply
5,306,539,684,006x = 7,960,605,413,712.80 × 1,863,829,565,805.60 - Step 4: Simplify right side
5,306,539,684,006x = 14,837,211,731,790,037,065,400,320 - Step 5: Solve for x
x = 14,837,211,731,790,037,065,400,320/5,306,539,684,006 - Step 6: Final answer
x = 2,796,023,890,391.26
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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.