Finding the Fourth Proportional to 1,177,279,245,379.60, 1,624,947,639,832.50 and 766,770,674,476.24
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Solution
The fourth proportional to 1,177,279,245,379.60, 1,624,947,639,832.50 and 766,770,674,476.24 is: 1,058,340,408,762.74
Step by Step Solution
- Step 1: Write the proportion equation
1,177,279,245,379.60 : 1,624,947,639,832.50 = 766,770,674,476.24 : x - Step 2: Convert to fraction form
1,177,279,245,379.60/1,624,947,639,832.50 = 766,770,674,476.24/x - Step 3: Cross multiply
1,177,279,245,379.60x = 1,624,947,639,832.50 × 766,770,674,476.24 - Step 4: Simplify right side
1,177,279,245,379.60x = 1,245,962,197,782,940,281,208,832 - Step 5: Solve for x
x = 1,245,962,197,782,940,281,208,832/1,177,279,245,379.60 - Step 6: Final answer
x = 1,058,340,408,762.74
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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.