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Finding the Fourth Proportional to 616,987,136.38, 851,457,915.99 and 338,528,586.10

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Solution

The fourth proportional to 616,987,136.38, 851,457,915.99 and 338,528,586.10 is: 467,178,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,987,136.38 : 851,457,915.99 = 338,528,586.10 : x
  2. Step 2: Convert to fraction form
    616,987,136.38/851,457,915.99 = 338,528,586.10/x
  3. Step 3: Cross multiply
    616,987,136.38x = 851,457,915.99 × 338,528,586.10
  4. Step 4: Simplify right side
    616,987,136.38x = 288,242,844,423,747,328
  5. Step 5: Solve for x
    x = 288,242,844,423,747,328/616,987,136.38
  6. Step 6: Final answer
    x = 467,178,045.42

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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.