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Finding the Fourth Proportional to 1,180,683,453.60, 1,771,781,007.60 and 689,395,773.60

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Solution

The fourth proportional to 1,180,683,453.60, 1,771,781,007.60 and 689,395,773.60 is: 1,034,534,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,683,453.60 : 1,771,781,007.60 = 689,395,773.60 : x
  2. Step 2: Convert to fraction form
    1,180,683,453.60/1,771,781,007.60 = 689,395,773.60/x
  3. Step 3: Cross multiply
    1,180,683,453.60x = 1,771,781,007.60 × 689,395,773.60
  4. Step 4: Simplify right side
    1,180,683,453.60x = 1,221,458,338,384,189,440
  5. Step 5: Solve for x
    x = 1,221,458,338,384,189,440/1,180,683,453.60
  6. Step 6: Final answer
    x = 1,034,534,984.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.