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Finding the Fourth Proportional to 273,094,106,245.60, 409,641,159,368.40 and 273,094,106,245.60

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Solution

The fourth proportional to 273,094,106,245.60, 409,641,159,368.40 and 273,094,106,245.60 is: 409,641,159,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,094,106,245.60 : 409,641,159,368.40 = 273,094,106,245.60 : x
  2. Step 2: Convert to fraction form
    273,094,106,245.60/409,641,159,368.40 = 273,094,106,245.60/x
  3. Step 3: Cross multiply
    273,094,106,245.60x = 409,641,159,368.40 × 273,094,106,245.60
  4. Step 4: Simplify right side
    273,094,106,245.60x = 111,870,586,299,124,597,915,648
  5. Step 5: Solve for x
    x = 111,870,586,299,124,597,915,648/273,094,106,245.60
  6. Step 6: Final answer
    x = 409,641,159,368.40

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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.