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Finding the Fourth Proportional to 193,077,109,200.15, 289,615,663,800.22 and 193,077,109,200.15

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Solution

The fourth proportional to 193,077,109,200.15, 289,615,663,800.22 and 193,077,109,200.15 is: 289,615,663,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,077,109,200.15 : 289,615,663,800.22 = 193,077,109,200.15 : x
  2. Step 2: Convert to fraction form
    193,077,109,200.15/289,615,663,800.22 = 193,077,109,200.15/x
  3. Step 3: Cross multiply
    193,077,109,200.15x = 289,615,663,800.22 × 193,077,109,200.15
  4. Step 4: Simplify right side
    193,077,109,200.15x = 55,918,155,145,629,000,531,968
  5. Step 5: Solve for x
    x = 55,918,155,145,629,000,531,968/193,077,109,200.15
  6. Step 6: Final answer
    x = 289,615,663,800.22

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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.