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Finding the Fourth Proportional to 289,762,713.44, 399,836,250.34 and 195,881,127.62

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Solution

The fourth proportional to 289,762,713.44, 399,836,250.34 and 195,881,127.62 is: 270,291,421.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,762,713.44 : 399,836,250.34 = 195,881,127.62 : x
  2. Step 2: Convert to fraction form
    289,762,713.44/399,836,250.34 = 195,881,127.62/x
  3. Step 3: Cross multiply
    289,762,713.44x = 399,836,250.34 × 195,881,127.62
  4. Step 4: Simplify right side
    289,762,713.44x = 78,320,375,579,951,808
  5. Step 5: Solve for x
    x = 78,320,375,579,951,808/289,762,713.44
  6. Step 6: Final answer
    x = 270,291,421.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.