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Finding the Fourth Proportional to 819,339,905.05, 1,229,009,857.58 and 819,339,905.05

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Solution

The fourth proportional to 819,339,905.05, 1,229,009,857.58 and 819,339,905.05 is: 1,229,009,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,339,905.05 : 1,229,009,857.58 = 819,339,905.05 : x
  2. Step 2: Convert to fraction form
    819,339,905.05/1,229,009,857.58 = 819,339,905.05/x
  3. Step 3: Cross multiply
    819,339,905.05x = 1,229,009,857.58 × 819,339,905.05
  4. Step 4: Simplify right side
    819,339,905.05x = 1,006,976,820,011,014,528
  5. Step 5: Solve for x
    x = 1,006,976,820,011,014,528/819,339,905.05
  6. Step 6: Final answer
    x = 1,229,009,857.58

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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.