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Finding the Fourth Proportional to 8,142,404.30, 11,384,436.10 and 8,142,404.30

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Solution

The fourth proportional to 8,142,404.30, 11,384,436.10 and 8,142,404.30 is: 11,384,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142,404.30 : 11,384,436.10 = 8,142,404.30 : x
  2. Step 2: Convert to fraction form
    8,142,404.30/11,384,436.10 = 8,142,404.30/x
  3. Step 3: Cross multiply
    8,142,404.30x = 11,384,436.10 × 8,142,404.30
  4. Step 4: Simplify right side
    8,142,404.30x = 92,696,681,453,715.22
  5. Step 5: Solve for x
    x = 92,696,681,453,715.22/8,142,404.30
  6. Step 6: Final answer
    x = 11,384,436.10

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