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Finding the Fourth Proportional to 2,457,314,672.55, 3,685,972,008.83 and 2,457,314,672.55

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Solution

The fourth proportional to 2,457,314,672.55, 3,685,972,008.83 and 2,457,314,672.55 is: 3,685,972,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,314,672.55 : 3,685,972,008.83 = 2,457,314,672.55 : x
  2. Step 2: Convert to fraction form
    2,457,314,672.55/3,685,972,008.83 = 2,457,314,672.55/x
  3. Step 3: Cross multiply
    2,457,314,672.55x = 3,685,972,008.83 × 2,457,314,672.55
  4. Step 4: Simplify right side
    2,457,314,672.55x = 9,057,593,099,894,270,976
  5. Step 5: Solve for x
    x = 9,057,593,099,894,270,976/2,457,314,672.55
  6. Step 6: Final answer
    x = 3,685,972,008.83

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Double scale
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1.5x scale

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.