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Finding the Fourth Proportional to 3,478,999.90, 5,210,205.45 and 3,478,999.90

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Solution

The fourth proportional to 3,478,999.90, 5,210,205.45 and 3,478,999.90 is: 5,210,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478,999.90 : 5,210,205.45 = 3,478,999.90 : x
  2. Step 2: Convert to fraction form
    3,478,999.90/5,210,205.45 = 3,478,999.90/x
  3. Step 3: Cross multiply
    3,478,999.90x = 5,210,205.45 × 3,478,999.90
  4. Step 4: Simplify right side
    3,478,999.90x = 18,126,304,239,529.46
  5. Step 5: Solve for x
    x = 18,126,304,239,529.46/3,478,999.90
  6. Step 6: Final answer
    x = 5,210,205.45

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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.