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Finding the Fourth Proportional to 8,348,027.20, 11,720,830.40 and 8,348,027.20

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Solution

The fourth proportional to 8,348,027.20, 11,720,830.40 and 8,348,027.20 is: 11,720,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348,027.20 : 11,720,830.40 = 8,348,027.20 : x
  2. Step 2: Convert to fraction form
    8,348,027.20/11,720,830.40 = 8,348,027.20/x
  3. Step 3: Cross multiply
    8,348,027.20x = 11,720,830.40 × 8,348,027.20
  4. Step 4: Simplify right side
    8,348,027.20x = 97,845,810,985,786.89
  5. Step 5: Solve for x
    x = 97,845,810,985,786.89/8,348,027.20
  6. Step 6: Final answer
    x = 11,720,830.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.