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Finding the Fourth Proportional to 469,693,497.60, 704,540,246.40 and 427,367,174.40

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Solution

The fourth proportional to 469,693,497.60, 704,540,246.40 and 427,367,174.40 is: 641,050,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,693,497.60 : 704,540,246.40 = 427,367,174.40 : x
  2. Step 2: Convert to fraction form
    469,693,497.60/704,540,246.40 = 427,367,174.40/x
  3. Step 3: Cross multiply
    469,693,497.60x = 704,540,246.40 × 427,367,174.40
  4. Step 4: Simplify right side
    469,693,497.60x = 301,097,374,355,047,744
  5. Step 5: Solve for x
    x = 301,097,374,355,047,744/469,693,497.60
  6. Step 6: Final answer
    x = 641,050,761.60

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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.