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Finding the Fourth Proportional to 200,407,104,003.10, 300,610,656,004.65 and 200,407,104,003.10

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Solution

The fourth proportional to 200,407,104,003.10, 300,610,656,004.65 and 200,407,104,003.10 is: 300,610,656,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,407,104,003.10 : 300,610,656,004.65 = 200,407,104,003.10 : x
  2. Step 2: Convert to fraction form
    200,407,104,003.10/300,610,656,004.65 = 200,407,104,003.10/x
  3. Step 3: Cross multiply
    200,407,104,003.10x = 300,610,656,004.65 × 200,407,104,003.10
  4. Step 4: Simplify right side
    200,407,104,003.10x = 60,244,511,002,364,018,163,712
  5. Step 5: Solve for x
    x = 60,244,511,002,364,018,163,712/200,407,104,003.10
  6. Step 6: Final answer
    x = 300,610,656,004.65

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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.