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Finding the Fourth Proportional to 289,762,654.39, 399,836,169.10 and 195,881,068.98

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Solution

The fourth proportional to 289,762,654.39, 399,836,169.10 and 195,881,068.98 is: 270,291,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,762,654.39 : 399,836,169.10 = 195,881,068.98 : x
  2. Step 2: Convert to fraction form
    289,762,654.39/399,836,169.10 = 195,881,068.98/x
  3. Step 3: Cross multiply
    289,762,654.39x = 399,836,169.10 × 195,881,068.98
  4. Step 4: Simplify right side
    289,762,654.39x = 78,320,336,220,176,048
  5. Step 5: Solve for x
    x = 78,320,336,220,176,048/289,762,654.39
  6. Step 6: Final answer
    x = 270,291,340.29

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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.