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Finding the Fourth Proportional to 293,415,743.80, 440,123,615.70 and 190,103,613.40

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Solution

The fourth proportional to 293,415,743.80, 440,123,615.70 and 190,103,613.40 is: 285,155,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,415,743.80 : 440,123,615.70 = 190,103,613.40 : x
  2. Step 2: Convert to fraction form
    293,415,743.80/440,123,615.70 = 190,103,613.40/x
  3. Step 3: Cross multiply
    293,415,743.80x = 440,123,615.70 × 190,103,613.40
  4. Step 4: Simplify right side
    293,415,743.80x = 83,669,089,687,242,976
  5. Step 5: Solve for x
    x = 83,669,089,687,242,976/293,415,743.80
  6. Step 6: Final answer
    x = 285,155,420.10

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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.