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Finding the Fourth Proportional to 570,175,520.38, 786,842,224.32 and 309,415,136.38

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Solution

The fourth proportional to 570,175,520.38, 786,842,224.32 and 309,415,136.38 is: 426,992,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,175,520.38 : 786,842,224.32 = 309,415,136.38 : x
  2. Step 2: Convert to fraction form
    570,175,520.38/786,842,224.32 = 309,415,136.38/x
  3. Step 3: Cross multiply
    570,175,520.38x = 786,842,224.32 × 309,415,136.38
  4. Step 4: Simplify right side
    570,175,520.38x = 243,460,894,147,515,360
  5. Step 5: Solve for x
    x = 243,460,894,147,515,360/570,175,520.38
  6. Step 6: Final answer
    x = 426,992,891.57

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Why These Related Problems?

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