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Finding the Fourth Proportional to 458,051,351.60, 686,629,129.80 and 409,678,410.80

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Solution

The fourth proportional to 458,051,351.60, 686,629,129.80 and 409,678,410.80 is: 614,117,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,051,351.60 : 686,629,129.80 = 409,678,410.80 : x
  2. Step 2: Convert to fraction form
    458,051,351.60/686,629,129.80 = 409,678,410.80/x
  3. Step 3: Cross multiply
    458,051,351.60x = 686,629,129.80 × 409,678,410.80
  4. Step 4: Simplify right side
    458,051,351.60x = 281,297,130,705,450,912
  5. Step 5: Solve for x
    x = 281,297,130,705,450,912/458,051,351.60
  6. Step 6: Final answer
    x = 614,117,019.24

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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.