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Finding the Fourth Proportional to 1,410,682,640, 1,946,765,313.60 and 775,630,014.08

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Solution

The fourth proportional to 1,410,682,640, 1,946,765,313.60 and 775,630,014.08 is: 1,070,382,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,682,640 : 1,946,765,313.60 = 775,630,014.08 : x
  2. Step 2: Convert to fraction form
    1,410,682,640/1,946,765,313.60 = 775,630,014.08/x
  3. Step 3: Cross multiply
    1,410,682,640x = 1,946,765,313.60 × 775,630,014.08
  4. Step 4: Simplify right side
    1,410,682,640x = 1,509,969,607,598,023,680
  5. Step 5: Solve for x
    x = 1,509,969,607,598,023,680/1,410,682,640
  6. Step 6: Final answer
    x = 1,070,382,214.10

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Why These Related Problems?

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