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Finding the Fourth Proportional to 273,485,232,029.30, 410,227,848,043.95 and 273,485,232,029.30

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Solution

The fourth proportional to 273,485,232,029.30, 410,227,848,043.95 and 273,485,232,029.30 is: 410,227,848,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,485,232,029.30 : 410,227,848,043.95 = 273,485,232,029.30 : x
  2. Step 2: Convert to fraction form
    273,485,232,029.30/410,227,848,043.95 = 273,485,232,029.30/x
  3. Step 3: Cross multiply
    273,485,232,029.30x = 410,227,848,043.95 × 273,485,232,029.30
  4. Step 4: Simplify right side
    273,485,232,029.30x = 112,191,258,207,180,084,477,952
  5. Step 5: Solve for x
    x = 112,191,258,207,180,084,477,952/273,485,232,029.30
  6. Step 6: Final answer
    x = 410,227,848,043.95

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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.