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Finding the Fourth Proportional to 803,236,669.60, 1,204,855,004.40 and 803,236,669.60

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Solution

The fourth proportional to 803,236,669.60, 1,204,855,004.40 and 803,236,669.60 is: 1,204,855,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,236,669.60 : 1,204,855,004.40 = 803,236,669.60 : x
  2. Step 2: Convert to fraction form
    803,236,669.60/1,204,855,004.40 = 803,236,669.60/x
  3. Step 3: Cross multiply
    803,236,669.60x = 1,204,855,004.40 × 803,236,669.60
  4. Step 4: Simplify right side
    803,236,669.60x = 967,783,721,085,149,440
  5. Step 5: Solve for x
    x = 967,783,721,085,149,440/803,236,669.60
  6. Step 6: Final answer
    x = 1,204,855,004.40

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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.