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Finding the Fourth Proportional to 279,395,998.40, 390,644,214.40 and 279,395,998.40

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Solution

The fourth proportional to 279,395,998.40, 390,644,214.40 and 279,395,998.40 is: 390,644,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,395,998.40 : 390,644,214.40 = 279,395,998.40 : x
  2. Step 2: Convert to fraction form
    279,395,998.40/390,644,214.40 = 279,395,998.40/x
  3. Step 3: Cross multiply
    279,395,998.40x = 390,644,214.40 × 279,395,998.40
  4. Step 4: Simplify right side
    279,395,998.40x = 109,144,430,301,471,648
  5. Step 5: Solve for x
    x = 109,144,430,301,471,648/279,395,998.40
  6. Step 6: Final answer
    x = 390,644,214.40

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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.