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Finding the Fourth Proportional to 508,392,616.60, 762,588,924.90 and 144,839,733.40

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Solution

The fourth proportional to 508,392,616.60, 762,588,924.90 and 144,839,733.40 is: 217,259,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,392,616.60 : 762,588,924.90 = 144,839,733.40 : x
  2. Step 2: Convert to fraction form
    508,392,616.60/762,588,924.90 = 144,839,733.40/x
  3. Step 3: Cross multiply
    508,392,616.60x = 762,588,924.90 × 144,839,733.40
  4. Step 4: Simplify right side
    508,392,616.60x = 110,453,176,576,308,624
  5. Step 5: Solve for x
    x = 110,453,176,576,308,624/508,392,616.60
  6. Step 6: Final answer
    x = 217,259,600.10

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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.