Finding the Fourth Proportional to 4,865,679,197,292.10, 6,714,642,261,569.20 and 2,640,900,163,553
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Solution
The fourth proportional to 4,865,679,197,292.10, 6,714,642,261,569.20 and 2,640,900,163,553 is: 3,644,444,922,847.93
Step by Step Solution
- Step 1: Write the proportion equation
4,865,679,197,292.10 : 6,714,642,261,569.20 = 2,640,900,163,553 : x - Step 2: Convert to fraction form
4,865,679,197,292.10/6,714,642,261,569.20 = 2,640,900,163,553/x - Step 3: Cross multiply
4,865,679,197,292.10x = 6,714,642,261,569.20 × 2,640,900,163,553 - Step 4: Simplify right side
4,865,679,197,292.10x = 17,732,699,846,777,986,743,271,424 - Step 5: Solve for x
x = 17,732,699,846,777,986,743,271,424/4,865,679,197,292.10 - Step 6: Final answer
x = 3,644,444,922,847.93
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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.