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Finding the Fourth Proportional to 664,308,541.60, 996,462,812.40 and 664,308,541.60

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Solution

The fourth proportional to 664,308,541.60, 996,462,812.40 and 664,308,541.60 is: 996,462,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,308,541.60 : 996,462,812.40 = 664,308,541.60 : x
  2. Step 2: Convert to fraction form
    664,308,541.60/996,462,812.40 = 664,308,541.60/x
  3. Step 3: Cross multiply
    664,308,541.60x = 996,462,812.40 × 664,308,541.60
  4. Step 4: Simplify right side
    664,308,541.60x = 661,958,757,664,078,464
  5. Step 5: Solve for x
    x = 661,958,757,664,078,464/664,308,541.60
  6. Step 6: Final answer
    x = 996,462,812.40

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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.