Finding the Fourth Proportional to 4,865,679,197,291.10, 6,714,642,261,567.50 and 2,640,900,163,552
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Solution
The fourth proportional to 4,865,679,197,291.10, 6,714,642,261,567.50 and 2,640,900,163,552 is: 3,644,444,922,846.38
Step by Step Solution
- Step 1: Write the proportion equation
4,865,679,197,291.10 : 6,714,642,261,567.50 = 2,640,900,163,552 : x - Step 2: Convert to fraction form
4,865,679,197,291.10/6,714,642,261,567.50 = 2,640,900,163,552/x - Step 3: Cross multiply
4,865,679,197,291.10x = 6,714,642,261,567.50 × 2,640,900,163,552 - Step 4: Simplify right side
4,865,679,197,291.10x = 17,732,699,846,766,781,173,596,160 - Step 5: Solve for x
x = 17,732,699,846,766,781,173,596,160/4,865,679,197,291.10 - Step 6: Final answer
x = 3,644,444,922,846.38
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1.5x scale
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.