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Finding the Fourth Proportional to 513,923,033.68, 709,214,693 and 278,973,856.88

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Solution

The fourth proportional to 513,923,033.68, 709,214,693 and 278,973,856.88 is: 384,984,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,923,033.68 : 709,214,693 = 278,973,856.88 : x
  2. Step 2: Convert to fraction form
    513,923,033.68/709,214,693 = 278,973,856.88/x
  3. Step 3: Cross multiply
    513,923,033.68x = 709,214,693 × 278,973,856.88
  4. Step 4: Simplify right side
    513,923,033.68x = 197,852,358,262,175,136
  5. Step 5: Solve for x
    x = 197,852,358,262,175,136/513,923,033.68
  6. Step 6: Final answer
    x = 384,984,414.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.