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Finding the Fourth Proportional to 1,066,964,713.90, 1,601,342,866.05 and 485,593,629.10

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Solution

The fourth proportional to 1,066,964,713.90, 1,601,342,866.05 and 485,593,629.10 is: 728,798,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066,964,713.90 : 1,601,342,866.05 = 485,593,629.10 : x
  2. Step 2: Convert to fraction form
    1,066,964,713.90/1,601,342,866.05 = 485,593,629.10/x
  3. Step 3: Cross multiply
    1,066,964,713.90x = 1,601,342,866.05 × 485,593,629.10
  4. Step 4: Simplify right side
    1,066,964,713.90x = 777,601,893,758,614,656
  5. Step 5: Solve for x
    x = 777,601,893,758,614,656/1,066,964,713.90
  6. Step 6: Final answer
    x = 728,798,135.15

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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.