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Finding the Fourth Proportional to 473,365,494.40, 710,048,241.60 and 266,741,233.60

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Solution

The fourth proportional to 473,365,494.40, 710,048,241.60 and 266,741,233.60 is: 400,111,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,365,494.40 : 710,048,241.60 = 266,741,233.60 : x
  2. Step 2: Convert to fraction form
    473,365,494.40/710,048,241.60 = 266,741,233.60/x
  3. Step 3: Cross multiply
    473,365,494.40x = 710,048,241.60 × 266,741,233.60
  4. Step 4: Simplify right side
    473,365,494.40x = 189,399,143,879,894,848
  5. Step 5: Solve for x
    x = 189,399,143,879,894,848/473,365,494.40
  6. Step 6: Final answer
    x = 400,111,850.40

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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.