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Finding the Fourth Proportional to 77,947,577.40, 109,305,767.40 and 77,947,577.40

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Solution

The fourth proportional to 77,947,577.40, 109,305,767.40 and 77,947,577.40 is: 109,305,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,947,577.40 : 109,305,767.40 = 77,947,577.40 : x
  2. Step 2: Convert to fraction form
    77,947,577.40/109,305,767.40 = 77,947,577.40/x
  3. Step 3: Cross multiply
    77,947,577.40x = 109,305,767.40 × 77,947,577.40
  4. Step 4: Simplify right side
    77,947,577.40x = 8,520,119,764,677,898
  5. Step 5: Solve for x
    x = 8,520,119,764,677,898/77,947,577.40
  6. Step 6: Final answer
    x = 109,305,767.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.