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Finding the Fourth Proportional to 283,668,863.04, 425,471,393.52 and 76,422,590.64

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Solution

The fourth proportional to 283,668,863.04, 425,471,393.52 and 76,422,590.64 is: 114,625,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,668,863.04 : 425,471,393.52 = 76,422,590.64 : x
  2. Step 2: Convert to fraction form
    283,668,863.04/425,471,393.52 = 76,422,590.64/x
  3. Step 3: Cross multiply
    283,668,863.04x = 425,471,393.52 × 76,422,590.64
  4. Step 4: Simplify right side
    283,668,863.04x = 32,515,626,136,009,308
  5. Step 5: Solve for x
    x = 32,515,626,136,009,308/283,668,863.04
  6. Step 6: Final answer
    x = 114,625,291.57

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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.