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Finding the Fourth Proportional to 307,824,509.60, 424,798,233 and 166,695,973.54

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Solution

The fourth proportional to 307,824,509.60, 424,798,233 and 166,695,973.54 is: 230,040,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,824,509.60 : 424,798,233 = 166,695,973.54 : x
  2. Step 2: Convert to fraction form
    307,824,509.60/424,798,233 = 166,695,973.54/x
  3. Step 3: Cross multiply
    307,824,509.60x = 424,798,233 × 166,695,973.54
  4. Step 4: Simplify right side
    307,824,509.60x = 70,812,155,008,006,752
  5. Step 5: Solve for x
    x = 70,812,155,008,006,752/307,824,509.60
  6. Step 6: Final answer
    x = 230,040,665.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.