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Finding the Fourth Proportional to 9,216,002.40, 13,824,003.60 and 9,216,002.40

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Solution

The fourth proportional to 9,216,002.40, 13,824,003.60 and 9,216,002.40 is: 13,824,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216,002.40 : 13,824,003.60 = 9,216,002.40 : x
  2. Step 2: Convert to fraction form
    9,216,002.40/13,824,003.60 = 9,216,002.40/x
  3. Step 3: Cross multiply
    9,216,002.40x = 13,824,003.60 × 9,216,002.40
  4. Step 4: Simplify right side
    9,216,002.40x = 127,402,050,355,208.64
  5. Step 5: Solve for x
    x = 127,402,050,355,208.64/9,216,002.40
  6. Step 6: Final answer
    x = 13,824,003.60

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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.