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Finding the Fourth Proportional to 96,768,009.40, 135,654,372.20 and 96,768,009.40

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Solution

The fourth proportional to 96,768,009.40, 135,654,372.20 and 96,768,009.40 is: 135,654,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,768,009.40 : 135,654,372.20 = 96,768,009.40 : x
  2. Step 2: Convert to fraction form
    96,768,009.40/135,654,372.20 = 96,768,009.40/x
  3. Step 3: Cross multiply
    96,768,009.40x = 135,654,372.20 × 96,768,009.40
  4. Step 4: Simplify right side
    96,768,009.40x = 13,127,003,564,200,698
  5. Step 5: Solve for x
    x = 13,127,003,564,200,698/96,768,009.40
  6. Step 6: Final answer
    x = 135,654,372.20

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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.