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Finding the Fourth Proportional to 26,372,608,180.40, 36,976,009,632.40 and 26,372,608,180.40

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Solution

The fourth proportional to 26,372,608,180.40, 36,976,009,632.40 and 26,372,608,180.40 is: 36,976,009,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,372,608,180.40 : 36,976,009,632.40 = 26,372,608,180.40 : x
  2. Step 2: Convert to fraction form
    26,372,608,180.40/36,976,009,632.40 = 26,372,608,180.40/x
  3. Step 3: Cross multiply
    26,372,608,180.40x = 36,976,009,632.40 × 26,372,608,180.40
  4. Step 4: Simplify right side
    26,372,608,180.40x = 975,153,814,109,981,507,584
  5. Step 5: Solve for x
    x = 975,153,814,109,981,507,584/26,372,608,180.40
  6. Step 6: Final answer
    x = 36,976,009,632.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.