Finding the Fourth Proportional to 896,367,497.36, 1,345,155,499.48 and 314,106,974.16
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Solution
The fourth proportional to 896,367,497.36, 1,345,155,499.48 and 314,106,974.16 is: 471,372,204.99
Step by Step Solution
- Step 1: Write the proportion equation
896,367,497.36 : 1,345,155,499.48 = 314,106,974.16 : x - Step 2: Convert to fraction form
896,367,497.36/1,345,155,499.48 = 314,106,974.16/x - Step 3: Cross multiply
896,367,497.36x = 1,345,155,499.48 × 314,106,974.16 - Step 4: Simplify right side
896,367,497.36x = 422,522,723,716,346,304 - Step 5: Solve for x
x = 422,522,723,716,346,304/896,367,497.36 - Step 6: Final answer
x = 471,372,204.99
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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.