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Finding the Fourth Proportional to 504,038,861.20, 756,058,291.80 and 417,945,419.20

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Solution

The fourth proportional to 504,038,861.20, 756,058,291.80 and 417,945,419.20 is: 626,918,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,038,861.20 : 756,058,291.80 = 417,945,419.20 : x
  2. Step 2: Convert to fraction form
    504,038,861.20/756,058,291.80 = 417,945,419.20/x
  3. Step 3: Cross multiply
    504,038,861.20x = 756,058,291.80 × 417,945,419.20
  4. Step 4: Simplify right side
    504,038,861.20x = 315,991,099,705,986,880
  5. Step 5: Solve for x
    x = 315,991,099,705,986,880/504,038,861.20
  6. Step 6: Final answer
    x = 626,918,128.80

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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.