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Finding the Fourth Proportional to 262,066,752,006.80, 393,100,128,010.20 and 262,066,752,006.80

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Solution

The fourth proportional to 262,066,752,006.80, 393,100,128,010.20 and 262,066,752,006.80 is: 393,100,128,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,066,752,006.80 : 393,100,128,010.20 = 262,066,752,006.80 : x
  2. Step 2: Convert to fraction form
    262,066,752,006.80/393,100,128,010.20 = 262,066,752,006.80/x
  3. Step 3: Cross multiply
    262,066,752,006.80x = 393,100,128,010.20 × 262,066,752,006.80
  4. Step 4: Simplify right side
    262,066,752,006.80x = 103,018,473,761,090,415,099,904
  5. Step 5: Solve for x
    x = 103,018,473,761,090,415,099,904/262,066,752,006.80
  6. Step 6: Final answer
    x = 393,100,128,010.20

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1.5x scale

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.