Finding the Fourth Proportional to 12,752,414,497,614, 19,128,621,746,422 and 12,752,414,497,614
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Solution
The fourth proportional to 12,752,414,497,614, 19,128,621,746,422 and 12,752,414,497,614 is: 19,128,621,746,422
Step by Step Solution
- Step 1: Write the proportion equation
12,752,414,497,614 : 19,128,621,746,422 = 12,752,414,497,614 : x - Step 2: Convert to fraction form
12,752,414,497,614/19,128,621,746,422 = 12,752,414,497,614/x - Step 3: Cross multiply
12,752,414,497,614x = 19,128,621,746,422 × 12,752,414,497,614 - Step 4: Simplify right side
12,752,414,497,614x = 243,936,113,278,446,360,403,640,320 - Step 5: Solve for x
x = 243,936,113,278,446,360,403,640,320/12,752,414,497,614 - Step 6: Final answer
x = 19,128,621,746,422
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.