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Finding the Fourth Proportional to 275,280,687,097.80, 412,921,030,646.68 and 275,280,687,097.80

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Solution

The fourth proportional to 275,280,687,097.80, 412,921,030,646.68 and 275,280,687,097.80 is: 412,921,030,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,280,687,097.80 : 412,921,030,646.68 = 275,280,687,097.80 : x
  2. Step 2: Convert to fraction form
    275,280,687,097.80/412,921,030,646.68 = 275,280,687,097.80/x
  3. Step 3: Cross multiply
    275,280,687,097.80x = 412,921,030,646.68 × 275,280,687,097.80
  4. Step 4: Simplify right side
    275,280,687,097.80x = 113,669,185,033,549,794,770,944
  5. Step 5: Solve for x
    x = 113,669,185,033,549,794,770,944/275,280,687,097.80
  6. Step 6: Final answer
    x = 412,921,030,646.68

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1.5x scale

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.