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Finding the Fourth Proportional to 664,417,775.40, 996,626,663.10 and 295,952,015.40

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Solution

The fourth proportional to 664,417,775.40, 996,626,663.10 and 295,952,015.40 is: 443,928,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,417,775.40 : 996,626,663.10 = 295,952,015.40 : x
  2. Step 2: Convert to fraction form
    664,417,775.40/996,626,663.10 = 295,952,015.40/x
  3. Step 3: Cross multiply
    664,417,775.40x = 996,626,663.10 × 295,952,015.40
  4. Step 4: Simplify right side
    664,417,775.40x = 294,953,669,545,821,824
  5. Step 5: Solve for x
    x = 294,953,669,545,821,824/664,417,775.40
  6. Step 6: Final answer
    x = 443,928,023.10

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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.