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Finding the Fourth Proportional to 560,077,504.80, 840,116,257.20 and 484,580,032.80

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Solution

The fourth proportional to 560,077,504.80, 840,116,257.20 and 484,580,032.80 is: 726,870,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,077,504.80 : 840,116,257.20 = 484,580,032.80 : x
  2. Step 2: Convert to fraction form
    560,077,504.80/840,116,257.20 = 484,580,032.80/x
  3. Step 3: Cross multiply
    560,077,504.80x = 840,116,257.20 × 484,580,032.80
  4. Step 4: Simplify right side
    560,077,504.80x = 407,103,563,469,789,248
  5. Step 5: Solve for x
    x = 407,103,563,469,789,248/560,077,504.80
  6. Step 6: Final answer
    x = 726,870,049.20

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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.