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Finding the Fourth Proportional to 842,599,400.40, 1,263,899,100.60 and 740,562,728.40

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Solution

The fourth proportional to 842,599,400.40, 1,263,899,100.60 and 740,562,728.40 is: 1,110,844,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,599,400.40 : 1,263,899,100.60 = 740,562,728.40 : x
  2. Step 2: Convert to fraction form
    842,599,400.40/1,263,899,100.60 = 740,562,728.40/x
  3. Step 3: Cross multiply
    842,599,400.40x = 1,263,899,100.60 × 740,562,728.40
  4. Step 4: Simplify right side
    842,599,400.40x = 935,996,566,362,641,920
  5. Step 5: Solve for x
    x = 935,996,566,362,641,920/842,599,400.40
  6. Step 6: Final answer
    x = 1,110,844,092.60

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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.