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Finding the Fourth Proportional to 538,164,009.10, 753,939,796.10 and 538,164,009.10

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Solution

The fourth proportional to 538,164,009.10, 753,939,796.10 and 538,164,009.10 is: 753,939,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,164,009.10 : 753,939,796.10 = 538,164,009.10 : x
  2. Step 2: Convert to fraction form
    538,164,009.10/753,939,796.10 = 538,164,009.10/x
  3. Step 3: Cross multiply
    538,164,009.10x = 753,939,796.10 × 538,164,009.10
  4. Step 4: Simplify right side
    538,164,009.10x = 405,743,263,289,212,544
  5. Step 5: Solve for x
    x = 405,743,263,289,212,544/538,164,009.10
  6. Step 6: Final answer
    x = 753,939,796.10

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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.