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Finding the Fourth Proportional to 279,937,206.40, 419,905,809.60 and 98,184,384.40

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Solution

The fourth proportional to 279,937,206.40, 419,905,809.60 and 98,184,384.40 is: 147,276,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937,206.40 : 419,905,809.60 = 98,184,384.40 : x
  2. Step 2: Convert to fraction form
    279,937,206.40/419,905,809.60 = 98,184,384.40/x
  3. Step 3: Cross multiply
    279,937,206.40x = 419,905,809.60 × 98,184,384.40
  4. Step 4: Simplify right side
    279,937,206.40x = 41,228,193,421,559,616
  5. Step 5: Solve for x
    x = 41,228,193,421,559,616/279,937,206.40
  6. Step 6: Final answer
    x = 147,276,576.60

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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.