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Finding the Fourth Proportional to 226,886,301.60, 340,329,452.40 and 149,402,203.80

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Solution

The fourth proportional to 226,886,301.60, 340,329,452.40 and 149,402,203.80 is: 224,103,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,886,301.60 : 340,329,452.40 = 149,402,203.80 : x
  2. Step 2: Convert to fraction form
    226,886,301.60/340,329,452.40 = 149,402,203.80/x
  3. Step 3: Cross multiply
    226,886,301.60x = 340,329,452.40 × 149,402,203.80
  4. Step 4: Simplify right side
    226,886,301.60x = 50,845,970,206,607,200
  5. Step 5: Solve for x
    x = 50,845,970,206,607,200/226,886,301.60
  6. Step 6: Final answer
    x = 224,103,305.70

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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.