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Finding the Fourth Proportional to 348,512,499.70, 522,768,749.55 and 348,512,499.70

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Solution

The fourth proportional to 348,512,499.70, 522,768,749.55 and 348,512,499.70 is: 522,768,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,512,499.70 : 522,768,749.55 = 348,512,499.70 : x
  2. Step 2: Convert to fraction form
    348,512,499.70/522,768,749.55 = 348,512,499.70/x
  3. Step 3: Cross multiply
    348,512,499.70x = 522,768,749.55 × 348,512,499.70
  4. Step 4: Simplify right side
    348,512,499.70x = 182,191,443,670,713,760
  5. Step 5: Solve for x
    x = 182,191,443,670,713,760/348,512,499.70
  6. Step 6: Final answer
    x = 522,768,749.55

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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.