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Finding the Fourth Proportional to 144,748,857.60, 217,048,636.80 and 53,825,644.80

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Solution

The fourth proportional to 144,748,857.60, 217,048,636.80 and 53,825,644.80 is: 80,710,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,748,857.60 : 217,048,636.80 = 53,825,644.80 : x
  2. Step 2: Convert to fraction form
    144,748,857.60/217,048,636.80 = 53,825,644.80/x
  3. Step 3: Cross multiply
    144,748,857.60x = 217,048,636.80 × 53,825,644.80
  4. Step 4: Simplify right side
    144,748,857.60x = 11,682,782,828,721,008
  5. Step 5: Solve for x
    x = 11,682,782,828,721,008/144,748,857.60
  6. Step 6: Final answer
    x = 80,710,708.34

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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.