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Finding the Fourth Proportional to 898,322,402.40, 1,347,483,603.60 and 766,808,469.60

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Solution

The fourth proportional to 898,322,402.40, 1,347,483,603.60 and 766,808,469.60 is: 1,150,212,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,322,402.40 : 1,347,483,603.60 = 766,808,469.60 : x
  2. Step 2: Convert to fraction form
    898,322,402.40/1,347,483,603.60 = 766,808,469.60/x
  3. Step 3: Cross multiply
    898,322,402.40x = 1,347,483,603.60 × 766,808,469.60
  4. Step 4: Simplify right side
    898,322,402.40x = 1,033,261,839,887,608,960
  5. Step 5: Solve for x
    x = 1,033,261,839,887,608,960/898,322,402.40
  6. Step 6: Final answer
    x = 1,150,212,704.40

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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.