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Finding the Fourth Proportional to 561,733,791.60, 842,600,687.40 and 493,709,343.60

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Solution

The fourth proportional to 561,733,791.60, 842,600,687.40 and 493,709,343.60 is: 740,564,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,733,791.60 : 842,600,687.40 = 493,709,343.60 : x
  2. Step 2: Convert to fraction form
    561,733,791.60/842,600,687.40 = 493,709,343.60/x
  3. Step 3: Cross multiply
    561,733,791.60x = 842,600,687.40 × 493,709,343.60
  4. Step 4: Simplify right side
    561,733,791.60x = 415,999,832,293,162,816
  5. Step 5: Solve for x
    x = 415,999,832,293,162,816/561,733,791.60
  6. Step 6: Final answer
    x = 740,564,015.40

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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.