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Finding the Fourth Proportional to 819,307,549.80, 1,228,961,324.70 and 819,307,549.80

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Solution

The fourth proportional to 819,307,549.80, 1,228,961,324.70 and 819,307,549.80 is: 1,228,961,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,307,549.80 : 1,228,961,324.70 = 819,307,549.80 : x
  2. Step 2: Convert to fraction form
    819,307,549.80/1,228,961,324.70 = 819,307,549.80/x
  3. Step 3: Cross multiply
    819,307,549.80x = 1,228,961,324.70 × 819,307,549.80
  4. Step 4: Simplify right side
    819,307,549.80x = 1,006,897,291,738,919,168
  5. Step 5: Solve for x
    x = 1,006,897,291,738,919,168/819,307,549.80
  6. Step 6: Final answer
    x = 1,228,961,324.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.