Finding the Fourth Proportional to 408,028,874,406.08, 563,260,425,687.44 and 263,583,449,557.70
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Solution
The fourth proportional to 408,028,874,406.08, 563,260,425,687.44 and 263,583,449,557.70 is: 363,861,813,010.51
Step by Step Solution
- Step 1: Write the proportion equation
408,028,874,406.08 : 563,260,425,687.44 = 263,583,449,557.70 : x - Step 2: Convert to fraction form
408,028,874,406.08/563,260,425,687.44 = 263,583,449,557.70/x - Step 3: Cross multiply
408,028,874,406.08x = 563,260,425,687.44 × 263,583,449,557.70 - Step 4: Simplify right side
408,028,874,406.08x = 148,466,126,002,033,965,137,920 - Step 5: Solve for x
x = 148,466,126,002,033,965,137,920/408,028,874,406.08 - Step 6: Final answer
x = 363,861,813,010.51
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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.