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Finding the Fourth Proportional to 413,728,709.60, 620,593,064.40 and 141,108,370.40

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Solution

The fourth proportional to 413,728,709.60, 620,593,064.40 and 141,108,370.40 is: 211,662,555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,728,709.60 : 620,593,064.40 = 141,108,370.40 : x
  2. Step 2: Convert to fraction form
    413,728,709.60/620,593,064.40 = 141,108,370.40/x
  3. Step 3: Cross multiply
    413,728,709.60x = 620,593,064.40 × 141,108,370.40
  4. Step 4: Simplify right side
    413,728,709.60x = 87,570,875,999,026,256
  5. Step 5: Solve for x
    x = 87,570,875,999,026,256/413,728,709.60
  6. Step 6: Final answer
    x = 211,662,555.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.