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Finding the Fourth Proportional to 4,655,984.47, 7,027,707.38 and 4,655,984.47

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Solution

The fourth proportional to 4,655,984.47, 7,027,707.38 and 4,655,984.47 is: 7,027,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655,984.47 : 7,027,707.38 = 4,655,984.47 : x
  2. Step 2: Convert to fraction form
    4,655,984.47/7,027,707.38 = 4,655,984.47/x
  3. Step 3: Cross multiply
    4,655,984.47x = 7,027,707.38 × 4,655,984.47
  4. Step 4: Simplify right side
    4,655,984.47x = 32,720,896,380,135.20
  5. Step 5: Solve for x
    x = 32,720,896,380,135.20/4,655,984.47
  6. Step 6: Final answer
    x = 7,027,707.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.