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Finding the Fourth Proportional to 559,873,312.80, 839,809,969.20 and 196,404,410.40

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Solution

The fourth proportional to 559,873,312.80, 839,809,969.20 and 196,404,410.40 is: 294,606,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,873,312.80 : 839,809,969.20 = 196,404,410.40 : x
  2. Step 2: Convert to fraction form
    559,873,312.80/839,809,969.20 = 196,404,410.40/x
  3. Step 3: Cross multiply
    559,873,312.80x = 839,809,969.20 × 196,404,410.40
  4. Step 4: Simplify right side
    559,873,312.80x = 164,942,381,848,768,160
  5. Step 5: Solve for x
    x = 164,942,381,848,768,160/559,873,312.80
  6. Step 6: Final answer
    x = 294,606,615.60

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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.