Finding the Fourth Proportional to 106,041,759,235.74, 146,337,589,091.07 and 57,869,802,582.09
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Solution
The fourth proportional to 106,041,759,235.74, 146,337,589,091.07 and 57,869,802,582.09 is: 79,860,306,468.63
Step by Step Solution
- Step 1: Write the proportion equation
106,041,759,235.74 : 146,337,589,091.07 = 57,869,802,582.09 : x - Step 2: Convert to fraction form
106,041,759,235.74/146,337,589,091.07 = 57,869,802,582.09/x - Step 3: Cross multiply
106,041,759,235.74x = 146,337,589,091.07 × 57,869,802,582.09 - Step 4: Simplify right side
106,041,759,235.74x = 8,468,527,391,039,228,477,440 - Step 5: Solve for x
x = 8,468,527,391,039,228,477,440/106,041,759,235.74 - Step 6: Final answer
x = 79,860,306,468.63
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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.