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Finding the Fourth Proportional to 206,033,716,982.40, 309,050,575,473.60 and 206,033,716,982.40

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Solution

The fourth proportional to 206,033,716,982.40, 309,050,575,473.60 and 206,033,716,982.40 is: 309,050,575,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,033,716,982.40 : 309,050,575,473.60 = 206,033,716,982.40 : x
  2. Step 2: Convert to fraction form
    206,033,716,982.40/309,050,575,473.60 = 206,033,716,982.40/x
  3. Step 3: Cross multiply
    206,033,716,982.40x = 309,050,575,473.60 × 206,033,716,982.40
  4. Step 4: Simplify right side
    206,033,716,982.40x = 63,674,838,800,375,545,331,712
  5. Step 5: Solve for x
    x = 63,674,838,800,375,545,331,712/206,033,716,982.40
  6. Step 6: Final answer
    x = 309,050,575,473.60

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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.