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Finding the Fourth Proportional to 401,631,617,150.40, 602,447,425,725.60 and 401,631,617,150.40

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Solution

The fourth proportional to 401,631,617,150.40, 602,447,425,725.60 and 401,631,617,150.40 is: 602,447,425,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,631,617,150.40 : 602,447,425,725.60 = 401,631,617,150.40 : x
  2. Step 2: Convert to fraction form
    401,631,617,150.40/602,447,425,725.60 = 401,631,617,150.40/x
  3. Step 3: Cross multiply
    401,631,617,150.40x = 602,447,425,725.60 × 401,631,617,150.40
  4. Step 4: Simplify right side
    401,631,617,150.40x = 241,961,933,842,268,211,380,224
  5. Step 5: Solve for x
    x = 241,961,933,842,268,211,380,224/401,631,617,150.40
  6. Step 6: Final answer
    x = 602,447,425,725.60

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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.