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Finding the Fourth Proportional to 594,183,458,812.75, 891,275,188,219.20 and 594,183,458,812.75

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Solution

The fourth proportional to 594,183,458,812.75, 891,275,188,219.20 and 594,183,458,812.75 is: 891,275,188,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,183,458,812.75 : 891,275,188,219.20 = 594,183,458,812.75 : x
  2. Step 2: Convert to fraction form
    594,183,458,812.75/891,275,188,219.20 = 594,183,458,812.75/x
  3. Step 3: Cross multiply
    594,183,458,812.75x = 891,275,188,219.20 × 594,183,458,812.75
  4. Step 4: Simplify right side
    594,183,458,812.75x = 529,580,974,090,068,980,400,128
  5. Step 5: Solve for x
    x = 529,580,974,090,068,980,400,128/594,183,458,812.75
  6. Step 6: Final answer
    x = 891,275,188,219.20

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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.