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Finding the Fourth Proportional to 1,940,598,002.40, 2,910,897,003.60 and 907,476,698.40

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Solution

The fourth proportional to 1,940,598,002.40, 2,910,897,003.60 and 907,476,698.40 is: 1,361,215,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940,598,002.40 : 2,910,897,003.60 = 907,476,698.40 : x
  2. Step 2: Convert to fraction form
    1,940,598,002.40/2,910,897,003.60 = 907,476,698.40/x
  3. Step 3: Cross multiply
    1,940,598,002.40x = 2,910,897,003.60 × 907,476,698.40
  4. Step 4: Simplify right side
    1,940,598,002.40x = 2,641,571,202,209,380,864
  5. Step 5: Solve for x
    x = 2,641,571,202,209,380,864/1,940,598,002.40
  6. Step 6: Final answer
    x = 1,361,215,047.60

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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.