Finding the Fourth Proportional to 8,156,668,438,398.30, 11,256,145,183,262 and 4,452,884,746,323.80
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Solution
The fourth proportional to 8,156,668,438,398.30, 11,256,145,183,262 and 4,452,884,746,323.80 is: 6,144,949,689,630.37
Step by Step Solution
- Step 1: Write the proportion equation
8,156,668,438,398.30 : 11,256,145,183,262 = 4,452,884,746,323.80 : x - Step 2: Convert to fraction form
8,156,668,438,398.30/11,256,145,183,262 = 4,452,884,746,323.80/x - Step 3: Cross multiply
8,156,668,438,398.30x = 11,256,145,183,262 × 4,452,884,746,323.80 - Step 4: Simplify right side
8,156,668,438,398.30x = 50,122,317,188,953,470,612,275,200 - Step 5: Solve for x
x = 50,122,317,188,953,470,612,275,200/8,156,668,438,398.30 - Step 6: Final answer
x = 6,144,949,689,630.37
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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.