Finding the Fourth Proportional to 449,378,120,264.18, 673,999,073,119.68 and 122,303,778,226.54
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Solution
The fourth proportional to 449,378,120,264.18, 673,999,073,119.68 and 122,303,778,226.54 is: 183,437,131,107.46
Step by Step Solution
- Step 1: Write the proportion equation
449,378,120,264.18 : 673,999,073,119.68 = 122,303,778,226.54 : x - Step 2: Convert to fraction form
449,378,120,264.18/673,999,073,119.68 = 122,303,778,226.54/x - Step 3: Cross multiply
449,378,120,264.18x = 673,999,073,119.68 × 122,303,778,226.54 - Step 4: Simplify right side
449,378,120,264.18x = 82,432,633,163,722,864,459,776 - Step 5: Solve for x
x = 82,432,633,163,722,864,459,776/449,378,120,264.18 - Step 6: Final answer
x = 183,437,131,107.46
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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.