Finding the Fourth Proportional to 1,471,616,857.44, 2,206,536,173.64 and 586,438,394.28
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Solution
The fourth proportional to 1,471,616,857.44, 2,206,536,173.64 and 586,438,394.28 is: 879,303,280.64
Step by Step Solution
- Step 1: Write the proportion equation
1,471,616,857.44 : 2,206,536,173.64 = 586,438,394.28 : x - Step 2: Convert to fraction form
1,471,616,857.44/2,206,536,173.64 = 586,438,394.28/x - Step 3: Cross multiply
1,471,616,857.44x = 2,206,536,173.64 × 586,438,394.28 - Step 4: Simplify right side
1,471,616,857.44x = 1,293,997,530,590,176,768 - Step 5: Solve for x
x = 1,293,997,530,590,176,768/1,471,616,857.44 - Step 6: Final answer
x = 879,303,280.64
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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.