Finding the Fourth Proportional to 7,266,647,787.84, 10,027,972,398.24 and 3,925,146,104.64
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Solution
The fourth proportional to 7,266,647,787.84, 10,027,972,398.24 and 3,925,146,104.64 is: 5,416,700,787.71
Step by Step Solution
- Step 1: Write the proportion equation
7,266,647,787.84 : 10,027,972,398.24 = 3,925,146,104.64 : x - Step 2: Convert to fraction form
7,266,647,787.84/10,027,972,398.24 = 3,925,146,104.64/x - Step 3: Cross multiply
7,266,647,787.84x = 10,027,972,398.24 × 3,925,146,104.64 - Step 4: Simplify right side
7,266,647,787.84x = 39,361,256,796,389,171,200 - Step 5: Solve for x
x = 39,361,256,796,389,171,200/7,266,647,787.84 - Step 6: Final answer
x = 5,416,700,787.71
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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.