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Finding the Fourth Proportional to 401,631,617,474.40, 602,447,426,211.60 and 401,631,617,474.40

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Solution

The fourth proportional to 401,631,617,474.40, 602,447,426,211.60 and 401,631,617,474.40 is: 602,447,426,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,631,617,474.40 : 602,447,426,211.60 = 401,631,617,474.40 : x
  2. Step 2: Convert to fraction form
    401,631,617,474.40/602,447,426,211.60 = 401,631,617,474.40/x
  3. Step 3: Cross multiply
    401,631,617,474.40x = 602,447,426,211.60 × 401,631,617,474.40
  4. Step 4: Simplify right side
    401,631,617,474.40x = 241,961,934,232,654,163,476,480
  5. Step 5: Solve for x
    x = 241,961,934,232,654,163,476,480/401,631,617,474.40
  6. Step 6: Final answer
    x = 602,447,426,211.60

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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.