Finding the Fourth Proportional to 4,872,937,606,128, 6,724,815,167,727.20 and 2,678,180,620,108.80
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Solution
The fourth proportional to 4,872,937,606,128, 6,724,815,167,727.20 and 2,678,180,620,108.80 is: 3,695,977,890,907.48
Step by Step Solution
- Step 1: Write the proportion equation
4,872,937,606,128 : 6,724,815,167,727.20 = 2,678,180,620,108.80 : x - Step 2: Convert to fraction form
4,872,937,606,128/6,724,815,167,727.20 = 2,678,180,620,108.80/x - Step 3: Cross multiply
4,872,937,606,128x = 6,724,815,167,727.20 × 2,678,180,620,108.80 - Step 4: Simplify right side
4,872,937,606,128x = 18,010,269,656,020,694,679,420,928 - Step 5: Solve for x
x = 18,010,269,656,020,694,679,420,928/4,872,937,606,128 - Step 6: Final answer
x = 3,695,977,890,907.48
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.