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Finding the Fourth Proportional to 1,083,463,018.65, 1,495,271,179.62 and 613,647,917.01

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Solution

The fourth proportional to 1,083,463,018.65, 1,495,271,179.62 and 613,647,917.01 is: 846,886,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,463,018.65 : 1,495,271,179.62 = 613,647,917.01 : x
  2. Step 2: Convert to fraction form
    1,083,463,018.65/1,495,271,179.62 = 613,647,917.01/x
  3. Step 3: Cross multiply
    1,083,463,018.65x = 1,495,271,179.62 × 613,647,917.01
  4. Step 4: Simplify right side
    1,083,463,018.65x = 917,570,044,738,898,432
  5. Step 5: Solve for x
    x = 917,570,044,738,898,432/1,083,463,018.65
  6. Step 6: Final answer
    x = 846,886,353.24

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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.