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Finding the Fourth Proportional to 647,048,584.80, 970,572,877.20 and 647,048,584.80

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Solution

The fourth proportional to 647,048,584.80, 970,572,877.20 and 647,048,584.80 is: 970,572,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,048,584.80 : 970,572,877.20 = 647,048,584.80 : x
  2. Step 2: Convert to fraction form
    647,048,584.80/970,572,877.20 = 647,048,584.80/x
  3. Step 3: Cross multiply
    647,048,584.80x = 970,572,877.20 × 647,048,584.80
  4. Step 4: Simplify right side
    647,048,584.80x = 628,007,806,637,524,224
  5. Step 5: Solve for x
    x = 628,007,806,637,524,224/647,048,584.80
  6. Step 6: Final answer
    x = 970,572,877.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.