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Finding the Fourth Proportional to 8,229,164.30, 11,492,486.50 and 8,229,164.30

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Solution

The fourth proportional to 8,229,164.30, 11,492,486.50 and 8,229,164.30 is: 11,492,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229,164.30 : 11,492,486.50 = 8,229,164.30 : x
  2. Step 2: Convert to fraction form
    8,229,164.30/11,492,486.50 = 8,229,164.30/x
  3. Step 3: Cross multiply
    8,229,164.30x = 11,492,486.50 × 8,229,164.30
  4. Step 4: Simplify right side
    8,229,164.30x = 94,573,559,624,031.95
  5. Step 5: Solve for x
    x = 94,573,559,624,031.95/8,229,164.30
  6. Step 6: Final answer
    x = 11,492,486.50

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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.