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Finding the Fourth Proportional to 401,436,906.30, 602,155,359.45 and 401,436,906.30

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Solution

The fourth proportional to 401,436,906.30, 602,155,359.45 and 401,436,906.30 is: 602,155,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,436,906.30 : 602,155,359.45 = 401,436,906.30 : x
  2. Step 2: Convert to fraction form
    401,436,906.30/602,155,359.45 = 401,436,906.30/x
  3. Step 3: Cross multiply
    401,436,906.30x = 602,155,359.45 × 401,436,906.30
  4. Step 4: Simplify right side
    401,436,906.30x = 241,727,384,609,572,480
  5. Step 5: Solve for x
    x = 241,727,384,609,572,480/401,436,906.30
  6. Step 6: Final answer
    x = 602,155,359.45

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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.