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Finding the Fourth Proportional to 459,830,452.80, 689,745,679.20 and 414,480,820.80

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Solution

The fourth proportional to 459,830,452.80, 689,745,679.20 and 414,480,820.80 is: 621,721,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,830,452.80 : 689,745,679.20 = 414,480,820.80 : x
  2. Step 2: Convert to fraction form
    459,830,452.80/689,745,679.20 = 414,480,820.80/x
  3. Step 3: Cross multiply
    459,830,452.80x = 689,745,679.20 × 414,480,820.80
  4. Step 4: Simplify right side
    459,830,452.80x = 285,886,355,258,069,504
  5. Step 5: Solve for x
    x = 285,886,355,258,069,504/459,830,452.80
  6. Step 6: Final answer
    x = 621,721,231.20

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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.