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Finding the Fourth Proportional to 858,646,004.15, 1,287,969,006.23 and 858,646,004.15

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Solution

The fourth proportional to 858,646,004.15, 1,287,969,006.23 and 858,646,004.15 is: 1,287,969,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,646,004.15 : 1,287,969,006.23 = 858,646,004.15 : x
  2. Step 2: Convert to fraction form
    858,646,004.15/1,287,969,006.23 = 858,646,004.15/x
  3. Step 3: Cross multiply
    858,646,004.15x = 1,287,969,006.23 × 858,646,004.15
  4. Step 4: Simplify right side
    858,646,004.15x = 1,105,909,440,668,435,968
  5. Step 5: Solve for x
    x = 1,105,909,440,668,435,968/858,646,004.15
  6. Step 6: Final answer
    x = 1,287,969,006.23

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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.