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Finding the Fourth Proportional to 401,618,540.80, 602,427,811.52 and 401,618,540.80

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Solution

The fourth proportional to 401,618,540.80, 602,427,811.52 and 401,618,540.80 is: 602,427,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,618,540.80 : 602,427,811.52 = 401,618,540.80 : x
  2. Step 2: Convert to fraction form
    401,618,540.80/602,427,811.52 = 401,618,540.80/x
  3. Step 3: Cross multiply
    401,618,540.80x = 602,427,811.52 × 401,618,540.80
  4. Step 4: Simplify right side
    401,618,540.80x = 241,946,178,599,999,840
  5. Step 5: Solve for x
    x = 241,946,178,599,999,840/401,618,540.80
  6. Step 6: Final answer
    x = 602,427,811.52

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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.