Finding the Fourth Proportional to 3,411,202,900.84, 5,102,032,945.02 and 2,008,844,362.12
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Solution
The fourth proportional to 3,411,202,900.84, 5,102,032,945.02 and 2,008,844,362.12 is: 3,004,567,718.45
Step by Step Solution
- Step 1: Write the proportion equation
3,411,202,900.84 : 5,102,032,945.02 = 2,008,844,362.12 : x - Step 2: Convert to fraction form
3,411,202,900.84/5,102,032,945.02 = 2,008,844,362.12/x - Step 3: Cross multiply
3,411,202,900.84x = 5,102,032,945.02 × 2,008,844,362.12 - Step 4: Simplify right side
3,411,202,900.84x = 10,249,190,116,953,927,680 - Step 5: Solve for x
x = 10,249,190,116,953,927,680/3,411,202,900.84 - Step 6: Final answer
x = 3,004,567,718.45
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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.