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Finding the Fourth Proportional to 13,852,578.40, 20,778,867.60 and 13,852,578.40

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Solution

The fourth proportional to 13,852,578.40, 20,778,867.60 and 13,852,578.40 is: 20,778,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852,578.40 : 20,778,867.60 = 13,852,578.40 : x
  2. Step 2: Convert to fraction form
    13,852,578.40/20,778,867.60 = 13,852,578.40/x
  3. Step 3: Cross multiply
    13,852,578.40x = 20,778,867.60 × 13,852,578.40
  4. Step 4: Simplify right side
    13,852,578.40x = 287,840,892,492,219.88
  5. Step 5: Solve for x
    x = 287,840,892,492,219.88/13,852,578.40
  6. Step 6: Final answer
    x = 20,778,867.60

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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.