Finding the Fourth Proportional to 17,677,518,358,656, 24,394,715,714,790 and 9,873,775,247,315.60
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Solution
The fourth proportional to 17,677,518,358,656, 24,394,715,714,790 and 9,873,775,247,315.60 is: 13,625,664,830,496.45
Step by Step Solution
- Step 1: Write the proportion equation
17,677,518,358,656 : 24,394,715,714,790 = 9,873,775,247,315.60 : x - Step 2: Convert to fraction form
17,677,518,358,656/24,394,715,714,790 = 9,873,775,247,315.60/x - Step 3: Cross multiply
17,677,518,358,656x = 24,394,715,714,790 × 9,873,775,247,315.60 - Step 4: Simplify right side
17,677,518,358,656x = 240,867,940,189,994,361,406,095,360 - Step 5: Solve for x
x = 240,867,940,189,994,361,406,095,360/17,677,518,358,656 - Step 6: Final answer
x = 13,625,664,830,496.45
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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.