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Finding the Fourth Proportional to 252,654,681.60, 378,982,022.40 and 252,654,681.60

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Solution

The fourth proportional to 252,654,681.60, 378,982,022.40 and 252,654,681.60 is: 378,982,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,654,681.60 : 378,982,022.40 = 252,654,681.60 : x
  2. Step 2: Convert to fraction form
    252,654,681.60/378,982,022.40 = 252,654,681.60/x
  3. Step 3: Cross multiply
    252,654,681.60x = 378,982,022.40 × 252,654,681.60
  4. Step 4: Simplify right side
    252,654,681.60x = 95,751,582,201,596,064
  5. Step 5: Solve for x
    x = 95,751,582,201,596,064/252,654,681.60
  6. Step 6: Final answer
    x = 378,982,022.40

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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.