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Finding the Fourth Proportional to 4,007,749,428,400.20, 6,011,624,142,600.40 and 4,007,749,428,400.20

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Solution

The fourth proportional to 4,007,749,428,400.20, 6,011,624,142,600.40 and 4,007,749,428,400.20 is: 6,011,624,142,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007,749,428,400.20 : 6,011,624,142,600.40 = 4,007,749,428,400.20 : x
  2. Step 2: Convert to fraction form
    4,007,749,428,400.20/6,011,624,142,600.40 = 4,007,749,428,400.20/x
  3. Step 3: Cross multiply
    4,007,749,428,400.20x = 6,011,624,142,600.40 × 4,007,749,428,400.20
  4. Step 4: Simplify right side
    4,007,749,428,400.20x = 24,093,083,221,263,597,227,212,800
  5. Step 5: Solve for x
    x = 24,093,083,221,263,597,227,212,800/4,007,749,428,400.20
  6. Step 6: Final answer
    x = 6,011,624,142,600.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.