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Finding the Fourth Proportional to 7,848,233.40, 11,779,866.90 and 4,064,431.80

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Solution

The fourth proportional to 7,848,233.40, 11,779,866.90 and 4,064,431.80 is: 6,100,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848,233.40 : 11,779,866.90 = 4,064,431.80 : x
  2. Step 2: Convert to fraction form
    7,848,233.40/11,779,866.90 = 4,064,431.80/x
  3. Step 3: Cross multiply
    7,848,233.40x = 11,779,866.90 × 4,064,431.80
  4. Step 4: Simplify right side
    7,848,233.40x = 47,878,465,628,127.42
  5. Step 5: Solve for x
    x = 47,878,465,628,127.42/7,848,233.40
  6. Step 6: Final answer
    x = 6,100,540.49

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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.