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Finding the Fourth Proportional to 524,448,165.40, 732,866,942.60 and 524,448,165.40

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Solution

The fourth proportional to 524,448,165.40, 732,866,942.60 and 524,448,165.40 is: 732,866,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,448,165.40 : 732,866,942.60 = 524,448,165.40 : x
  2. Step 2: Convert to fraction form
    524,448,165.40/732,866,942.60 = 524,448,165.40/x
  3. Step 3: Cross multiply
    524,448,165.40x = 732,866,942.60 × 524,448,165.40
  4. Step 4: Simplify right side
    524,448,165.40x = 384,350,723,528,877,120
  5. Step 5: Solve for x
    x = 384,350,723,528,877,120/524,448,165.40
  6. Step 6: Final answer
    x = 732,866,942.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.