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Finding the Fourth Proportional to 13,824,934.40, 20,737,401.60 and 13,824,934.40

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Solution

The fourth proportional to 13,824,934.40, 20,737,401.60 and 13,824,934.40 is: 20,737,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824,934.40 : 20,737,401.60 = 13,824,934.40 : x
  2. Step 2: Convert to fraction form
    13,824,934.40/20,737,401.60 = 13,824,934.40/x
  3. Step 3: Cross multiply
    13,824,934.40x = 20,737,401.60 × 13,824,934.40
  4. Step 4: Simplify right side
    13,824,934.40x = 286,693,216,746,455.06
  5. Step 5: Solve for x
    x = 286,693,216,746,455.06/13,824,934.40
  6. Step 6: Final answer
    x = 20,737,401.60

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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.