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Finding the Fourth Proportional to 349,104,443,145.90, 523,656,664,718.85 and 349,104,443,145.90

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Solution

The fourth proportional to 349,104,443,145.90, 523,656,664,718.85 and 349,104,443,145.90 is: 523,656,664,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,104,443,145.90 : 523,656,664,718.85 = 349,104,443,145.90 : x
  2. Step 2: Convert to fraction form
    349,104,443,145.90/523,656,664,718.85 = 349,104,443,145.90/x
  3. Step 3: Cross multiply
    349,104,443,145.90x = 523,656,664,718.85 × 349,104,443,145.90
  4. Step 4: Simplify right side
    349,104,443,145.90x = 182,810,868,336,313,401,081,856
  5. Step 5: Solve for x
    x = 182,810,868,336,313,401,081,856/349,104,443,145.90
  6. Step 6: Final answer
    x = 523,656,664,718.85

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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.