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Finding the Fourth Proportional to 290,438,288.70, 407,633,970.90 and 290,438,288.70

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Solution

The fourth proportional to 290,438,288.70, 407,633,970.90 and 290,438,288.70 is: 407,633,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438,288.70 : 407,633,970.90 = 290,438,288.70 : x
  2. Step 2: Convert to fraction form
    290,438,288.70/407,633,970.90 = 290,438,288.70/x
  3. Step 3: Cross multiply
    290,438,288.70x = 407,633,970.90 × 290,438,288.70
  4. Step 4: Simplify right side
    290,438,288.70x = 118,392,512,924,181,584
  5. Step 5: Solve for x
    x = 118,392,512,924,181,584/290,438,288.70
  6. Step 6: Final answer
    x = 407,633,970.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.