Finding the Fourth Proportional to 268,315,620,424.70, 370,276,757,210.98 and 146,379,985,355.41
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Solution
The fourth proportional to 268,315,620,424.70, 370,276,757,210.98 and 146,379,985,355.41 is: 202,005,035,011.38
Step by Step Solution
- Step 1: Write the proportion equation
268,315,620,424.70 : 370,276,757,210.98 = 146,379,985,355.41 : x - Step 2: Convert to fraction form
268,315,620,424.70/370,276,757,210.98 = 146,379,985,355.41/x - Step 3: Cross multiply
268,315,620,424.70x = 370,276,757,210.98 × 146,379,985,355.41 - Step 4: Simplify right side
268,315,620,424.70x = 54,201,106,297,991,953,645,568 - Step 5: Solve for x
x = 54,201,106,297,991,953,645,568/268,315,620,424.70 - Step 6: Final answer
x = 202,005,035,011.38
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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.