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Finding the Fourth Proportional to 262,066,752,003.30, 393,100,128,004.95 and 262,066,752,003.30

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Solution

The fourth proportional to 262,066,752,003.30, 393,100,128,004.95 and 262,066,752,003.30 is: 393,100,128,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,066,752,003.30 : 393,100,128,004.95 = 262,066,752,003.30 : x
  2. Step 2: Convert to fraction form
    262,066,752,003.30/393,100,128,004.95 = 262,066,752,003.30/x
  3. Step 3: Cross multiply
    262,066,752,003.30x = 393,100,128,004.95 × 262,066,752,003.30
  4. Step 4: Simplify right side
    262,066,752,003.30x = 103,018,473,758,338,716,794,880
  5. Step 5: Solve for x
    x = 103,018,473,758,338,716,794,880/262,066,752,003.30
  6. Step 6: Final answer
    x = 393,100,128,004.95

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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.