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Finding the Fourth Proportional to 594,077,746,529.75, 891,116,619,794.60 and 594,077,746,529.75

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Solution

The fourth proportional to 594,077,746,529.75, 891,116,619,794.60 and 594,077,746,529.75 is: 891,116,619,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,077,746,529.75 : 891,116,619,794.60 = 594,077,746,529.75 : x
  2. Step 2: Convert to fraction form
    594,077,746,529.75/891,116,619,794.60 = 594,077,746,529.75/x
  3. Step 3: Cross multiply
    594,077,746,529.75x = 891,116,619,794.60 × 594,077,746,529.75
  4. Step 4: Simplify right side
    594,077,746,529.75x = 529,392,553,382,783,951,568,896
  5. Step 5: Solve for x
    x = 529,392,553,382,783,951,568,896/594,077,746,529.75
  6. Step 6: Final answer
    x = 891,116,619,794.60

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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.