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Finding the Fourth Proportional to 653,116,686.30, 978,331,336.65 and 330,182,516.70

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Solution

The fourth proportional to 653,116,686.30, 978,331,336.65 and 330,182,516.70 is: 494,594,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,116,686.30 : 978,331,336.65 = 330,182,516.70 : x
  2. Step 2: Convert to fraction form
    653,116,686.30/978,331,336.65 = 330,182,516.70/x
  3. Step 3: Cross multiply
    653,116,686.30x = 978,331,336.65 × 330,182,516.70
  4. Step 4: Simplify right side
    653,116,686.30x = 323,027,902,901,571,904
  5. Step 5: Solve for x
    x = 323,027,902,901,571,904/653,116,686.30
  6. Step 6: Final answer
    x = 494,594,472.44

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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.