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Finding the Fourth Proportional to 12,752,414,514,093, 19,128,621,771,140 and 12,752,414,514,093

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Solution

The fourth proportional to 12,752,414,514,093, 19,128,621,771,140 and 12,752,414,514,093 is: 19,128,621,771,140

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,514,093 : 19,128,621,771,140 = 12,752,414,514,093 : x
  2. Step 2: Convert to fraction form
    12,752,414,514,093/19,128,621,771,140 = 12,752,414,514,093/x
  3. Step 3: Cross multiply
    12,752,414,514,093x = 19,128,621,771,140 × 12,752,414,514,093
  4. Step 4: Simplify right side
    12,752,414,514,093x = 243,936,113,908,881,073,362,698,240
  5. Step 5: Solve for x
    x = 243,936,113,908,881,073,362,698,240/12,752,414,514,093
  6. Step 6: Final answer
    x = 19,128,621,771,140

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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.