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Finding the Fourth Proportional to 155,465,197,231.35, 233,197,795,847.02 and 155,465,197,231.35

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Solution

The fourth proportional to 155,465,197,231.35, 233,197,795,847.02 and 155,465,197,231.35 is: 233,197,795,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,465,197,231.35 : 233,197,795,847.02 = 155,465,197,231.35 : x
  2. Step 2: Convert to fraction form
    155,465,197,231.35/233,197,795,847.02 = 155,465,197,231.35/x
  3. Step 3: Cross multiply
    155,465,197,231.35x = 233,197,795,847.02 × 155,465,197,231.35
  4. Step 4: Simplify right side
    155,465,197,231.35x = 36,254,141,325,273,055,887,360
  5. Step 5: Solve for x
    x = 36,254,141,325,273,055,887,360/155,465,197,231.35
  6. Step 6: Final answer
    x = 233,197,795,847.02

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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.