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Finding the Fourth Proportional to 819,282,326,683.80, 1,228,923,490,025.80 and 819,282,326,683.80

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Solution

The fourth proportional to 819,282,326,683.80, 1,228,923,490,025.80 and 819,282,326,683.80 is: 1,228,923,490,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,282,326,683.80 : 1,228,923,490,025.80 = 819,282,326,683.80 : x
  2. Step 2: Convert to fraction form
    819,282,326,683.80/1,228,923,490,025.80 = 819,282,326,683.80/x
  3. Step 3: Cross multiply
    819,282,326,683.80x = 1,228,923,490,025.80 × 819,282,326,683.80
  4. Step 4: Simplify right side
    819,282,326,683.80x = 1,006,835,296,224,713,201,680,384
  5. Step 5: Solve for x
    x = 1,006,835,296,224,713,201,680,384/819,282,326,683.80
  6. Step 6: Final answer
    x = 1,228,923,490,025.80

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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.