Finding the Fourth Proportional to 6,363,879,027,324, 8,782,156,580,721.60 and 3,437,432,638,582.80
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Solution
The fourth proportional to 6,363,879,027,324, 8,782,156,580,721.60 and 3,437,432,638,582.80 is: 4,743,658,944,191.34
Step by Step Solution
- Step 1: Write the proportion equation
6,363,879,027,324 : 8,782,156,580,721.60 = 3,437,432,638,582.80 : x - Step 2: Convert to fraction form
6,363,879,027,324/8,782,156,580,721.60 = 3,437,432,638,582.80/x - Step 3: Cross multiply
6,363,879,027,324x = 8,782,156,580,721.60 × 3,437,432,638,582.80 - Step 4: Simplify right side
6,363,879,027,324x = 30,188,071,667,717,147,442,806,784 - Step 5: Solve for x
x = 30,188,071,667,717,147,442,806,784/6,363,879,027,324 - Step 6: Final answer
x = 4,743,658,944,191.34
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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.