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Finding the Fourth Proportional to 6,022,729,809,000.40, 9,034,094,713,500.40 and 6,022,729,809,000.40

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Solution

The fourth proportional to 6,022,729,809,000.40, 9,034,094,713,500.40 and 6,022,729,809,000.40 is: 9,034,094,713,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022,729,809,000.40 : 9,034,094,713,500.40 = 6,022,729,809,000.40 : x
  2. Step 2: Convert to fraction form
    6,022,729,809,000.40/9,034,094,713,500.40 = 6,022,729,809,000.40/x
  3. Step 3: Cross multiply
    6,022,729,809,000.40x = 9,034,094,713,500.40 × 6,022,729,809,000.40
  4. Step 4: Simplify right side
    6,022,729,809,000.40x = 54,409,911,528,331,789,815,775,232
  5. Step 5: Solve for x
    x = 54,409,911,528,331,789,815,775,232/6,022,729,809,000.40
  6. Step 6: Final answer
    x = 9,034,094,713,500.40

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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.