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Finding the Fourth Proportional to 273,048,992.88, 409,864,947.33 and 117,679,477.32

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Solution

The fourth proportional to 273,048,992.88, 409,864,947.33 and 117,679,477.32 is: 176,644,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,048,992.88 : 409,864,947.33 = 117,679,477.32 : x
  2. Step 2: Convert to fraction form
    273,048,992.88/409,864,947.33 = 117,679,477.32/x
  3. Step 3: Cross multiply
    273,048,992.88x = 409,864,947.33 × 117,679,477.32
  4. Step 4: Simplify right side
    273,048,992.88x = 48,232,692,773,583,728
  5. Step 5: Solve for x
    x = 48,232,692,773,583,728/273,048,992.88
  6. Step 6: Final answer
    x = 176,644,829.43

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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.