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Finding the Fourth Proportional to 524,616,645.36, 783,523,664.16 and 475,334,033.88

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Solution

The fourth proportional to 524,616,645.36, 783,523,664.16 and 475,334,033.88 is: 709,919,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,616,645.36 : 783,523,664.16 = 475,334,033.88 : x
  2. Step 2: Convert to fraction form
    524,616,645.36/783,523,664.16 = 475,334,033.88/x
  3. Step 3: Cross multiply
    524,616,645.36x = 783,523,664.16 × 475,334,033.88
  4. Step 4: Simplify right side
    524,616,645.36x = 372,435,463,925,611,136
  5. Step 5: Solve for x
    x = 372,435,463,925,611,136/524,616,645.36
  6. Step 6: Final answer
    x = 709,919,266.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.