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Finding the Fourth Proportional to 565,512,273,023.60, 848,268,409,535.40 and 565,512,273,023.60

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Solution

The fourth proportional to 565,512,273,023.60, 848,268,409,535.40 and 565,512,273,023.60 is: 848,268,409,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,512,273,023.60 : 848,268,409,535.40 = 565,512,273,023.60 : x
  2. Step 2: Convert to fraction form
    565,512,273,023.60/848,268,409,535.40 = 565,512,273,023.60/x
  3. Step 3: Cross multiply
    565,512,273,023.60x = 848,268,409,535.40 × 565,512,273,023.60
  4. Step 4: Simplify right side
    565,512,273,023.60x = 479,706,196,410,478,024,982,528
  5. Step 5: Solve for x
    x = 479,706,196,410,478,024,982,528/565,512,273,023.60
  6. Step 6: Final answer
    x = 848,268,409,535.40

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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.