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Finding the Fourth Proportional to 869,822,884.80, 1,200,355,778.88 and 478,682,308.80

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Solution

The fourth proportional to 869,822,884.80, 1,200,355,778.88 and 478,682,308.80 is: 660,581,695.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,822,884.80 : 1,200,355,778.88 = 478,682,308.80 : x
  2. Step 2: Convert to fraction form
    869,822,884.80/1,200,355,778.88 = 478,682,308.80/x
  3. Step 3: Cross multiply
    869,822,884.80x = 1,200,355,778.88 × 478,682,308.80
  4. Step 4: Simplify right side
    869,822,884.80x = 574,589,075,615,700,736
  5. Step 5: Solve for x
    x = 574,589,075,615,700,736/869,822,884.80
  6. Step 6: Final answer
    x = 660,581,695.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.