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Finding the Fourth Proportional to 401,405,688.30, 602,108,532.45 and 401,405,688.30

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Solution

The fourth proportional to 401,405,688.30, 602,108,532.45 and 401,405,688.30 is: 602,108,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,405,688.30 : 602,108,532.45 = 401,405,688.30 : x
  2. Step 2: Convert to fraction form
    401,405,688.30/602,108,532.45 = 401,405,688.30/x
  3. Step 3: Cross multiply
    401,405,688.30x = 602,108,532.45 × 401,405,688.30
  4. Step 4: Simplify right side
    401,405,688.30x = 241,689,789,899,395,168
  5. Step 5: Solve for x
    x = 241,689,789,899,395,168/401,405,688.30
  6. Step 6: Final answer
    x = 602,108,532.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.