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Finding the Fourth Proportional to 4,015,153,206,039.40, 6,022,729,809,059.40 and 4,015,153,206,039.40

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Solution

The fourth proportional to 4,015,153,206,039.40, 6,022,729,809,059.40 and 4,015,153,206,039.40 is: 6,022,729,809,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015,153,206,039.40 : 6,022,729,809,059.40 = 4,015,153,206,039.40 : x
  2. Step 2: Convert to fraction form
    4,015,153,206,039.40/6,022,729,809,059.40 = 4,015,153,206,039.40/x
  3. Step 3: Cross multiply
    4,015,153,206,039.40x = 6,022,729,809,059.40 × 4,015,153,206,039.40
  4. Step 4: Simplify right side
    4,015,153,206,039.40x = 24,182,182,901,953,915,231,666,176
  5. Step 5: Solve for x
    x = 24,182,182,901,953,915,231,666,176/4,015,153,206,039.40
  6. Step 6: Final answer
    x = 6,022,729,809,059.40

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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.