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Finding the Fourth Proportional to 279,938,404.70, 419,907,607.05 and 98,161,963.10

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Solution

The fourth proportional to 279,938,404.70, 419,907,607.05 and 98,161,963.10 is: 147,242,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,938,404.70 : 419,907,607.05 = 98,161,963.10 : x
  2. Step 2: Convert to fraction form
    279,938,404.70/419,907,607.05 = 98,161,963.10/x
  3. Step 3: Cross multiply
    279,938,404.70x = 419,907,607.05 × 98,161,963.10
  4. Step 4: Simplify right side
    279,938,404.70x = 41,218,955,028,651,400
  5. Step 5: Solve for x
    x = 41,218,955,028,651,400/279,938,404.70
  6. Step 6: Final answer
    x = 147,242,944.65

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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.