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Finding the Fourth Proportional to 731,998,938.32, 1,009,906,012.74 and 467,835,560.48

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Solution

The fourth proportional to 731,998,938.32, 1,009,906,012.74 and 467,835,560.48 is: 645,451,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,998,938.32 : 1,009,906,012.74 = 467,835,560.48 : x
  2. Step 2: Convert to fraction form
    731,998,938.32/1,009,906,012.74 = 467,835,560.48/x
  3. Step 3: Cross multiply
    731,998,938.32x = 1,009,906,012.74 × 467,835,560.48
  4. Step 4: Simplify right side
    731,998,938.32x = 472,469,945,502,339,968
  5. Step 5: Solve for x
    x = 472,469,945,502,339,968/731,998,938.32
  6. Step 6: Final answer
    x = 645,451,681.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.