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Finding the Fourth Proportional to 867,694,804.74, 1,197,785,275.74 and 585,819,105.12

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Solution

The fourth proportional to 867,694,804.74, 1,197,785,275.74 and 585,819,105.12 is: 808,677,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,694,804.74 : 1,197,785,275.74 = 585,819,105.12 : x
  2. Step 2: Convert to fraction form
    867,694,804.74/1,197,785,275.74 = 585,819,105.12/x
  3. Step 3: Cross multiply
    867,694,804.74x = 1,197,785,275.74 × 585,819,105.12
  4. Step 4: Simplify right side
    867,694,804.74x = 701,685,498,359,919,232
  5. Step 5: Solve for x
    x = 701,685,498,359,919,232/867,694,804.74
  6. Step 6: Final answer
    x = 808,677,768.41

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