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Finding the Fourth Proportional to 413,728,449.60, 620,592,674.40 and 141,108,110.40

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Solution

The fourth proportional to 413,728,449.60, 620,592,674.40 and 141,108,110.40 is: 211,662,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,728,449.60 : 620,592,674.40 = 141,108,110.40 : x
  2. Step 2: Convert to fraction form
    413,728,449.60/620,592,674.40 = 141,108,110.40/x
  3. Step 3: Cross multiply
    413,728,449.60x = 620,592,674.40 × 141,108,110.40
  4. Step 4: Simplify right side
    413,728,449.60x = 87,570,659,612,666,448
  5. Step 5: Solve for x
    x = 87,570,659,612,666,448/413,728,449.60
  6. Step 6: Final answer
    x = 211,662,165.60

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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.