Finding the Fourth Proportional to 1,541,005,028,010.20, 2,126,588,332,450.80 and 846,590,570,125.75
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Solution
The fourth proportional to 1,541,005,028,010.20, 2,126,588,332,450.80 and 846,590,570,125.75 is: 1,168,295,752,491.45
Step by Step Solution
- Step 1: Write the proportion equation
1,541,005,028,010.20 : 2,126,588,332,450.80 = 846,590,570,125.75 : x - Step 2: Convert to fraction form
1,541,005,028,010.20/2,126,588,332,450.80 = 846,590,570,125.75/x - Step 3: Cross multiply
1,541,005,028,010.20x = 2,126,588,332,450.80 × 846,590,570,125.75 - Step 4: Simplify right side
1,541,005,028,010.20x = 1,800,349,628,792,290,750,234,624 - Step 5: Solve for x
x = 1,800,349,628,792,290,750,234,624/1,541,005,028,010.20 - Step 6: Final answer
x = 1,168,295,752,491.45
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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.