Finding the Fourth Proportional to 151,578,882,275.98, 209,170,570,446.99 and 82,977,024,285.58
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Solution
The fourth proportional to 151,578,882,275.98, 209,170,570,446.99 and 82,977,024,285.58 is: 114,503,757,008.89
Step by Step Solution
- Step 1: Write the proportion equation
151,578,882,275.98 : 209,170,570,446.99 = 82,977,024,285.58 : x - Step 2: Convert to fraction form
151,578,882,275.98/209,170,570,446.99 = 82,977,024,285.58/x - Step 3: Cross multiply
151,578,882,275.98x = 209,170,570,446.99 × 82,977,024,285.58 - Step 4: Simplify right side
151,578,882,275.98x = 17,356,351,503,808,510,033,920 - Step 5: Solve for x
x = 17,356,351,503,808,510,033,920/151,578,882,275.98 - Step 6: Final answer
x = 114,503,757,008.89
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1.5x scale
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.