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Finding the Fourth Proportional to 6,019,366,608,323.40, 9,029,049,912,485.40 and 6,019,366,608,323.40

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Solution

The fourth proportional to 6,019,366,608,323.40, 9,029,049,912,485.40 and 6,019,366,608,323.40 is: 9,029,049,912,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019,366,608,323.40 : 9,029,049,912,485.40 = 6,019,366,608,323.40 : x
  2. Step 2: Convert to fraction form
    6,019,366,608,323.40/9,029,049,912,485.40 = 6,019,366,608,323.40/x
  3. Step 3: Cross multiply
    6,019,366,608,323.40x = 9,029,049,912,485.40 × 6,019,366,608,323.40
  4. Step 4: Simplify right side
    6,019,366,608,323.40x = 54,349,161,548,099,937,632,256,000
  5. Step 5: Solve for x
    x = 54,349,161,548,099,937,632,256,000/6,019,366,608,323.40
  6. Step 6: Final answer
    x = 9,029,049,912,485.40

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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.