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Finding the Fourth Proportional to 501,203,999.40, 751,805,999.10 and 467,191,775.40

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Solution

The fourth proportional to 501,203,999.40, 751,805,999.10 and 467,191,775.40 is: 700,787,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,203,999.40 : 751,805,999.10 = 467,191,775.40 : x
  2. Step 2: Convert to fraction form
    501,203,999.40/751,805,999.10 = 467,191,775.40/x
  3. Step 3: Cross multiply
    501,203,999.40x = 751,805,999.10 × 467,191,775.40
  4. Step 4: Simplify right side
    501,203,999.40x = 351,237,579,475,899,776
  5. Step 5: Solve for x
    x = 351,237,579,475,899,776/501,203,999.40
  6. Step 6: Final answer
    x = 700,787,663.10

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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.