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Finding the Fourth Proportional to 273,485,232,028.10, 410,227,848,042.15 and 273,485,232,028.10

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Solution

The fourth proportional to 273,485,232,028.10, 410,227,848,042.15 and 273,485,232,028.10 is: 410,227,848,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,485,232,028.10 : 410,227,848,042.15 = 273,485,232,028.10 : x
  2. Step 2: Convert to fraction form
    273,485,232,028.10/410,227,848,042.15 = 273,485,232,028.10/x
  3. Step 3: Cross multiply
    273,485,232,028.10x = 410,227,848,042.15 × 273,485,232,028.10
  4. Step 4: Simplify right side
    273,485,232,028.10x = 112,191,258,206,195,547,111,424
  5. Step 5: Solve for x
    x = 112,191,258,206,195,547,111,424/273,485,232,028.10
  6. Step 6: Final answer
    x = 410,227,848,042.15

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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.