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Finding the Fourth Proportional to 206,858,488,510.80, 310,287,732,766.20 and 206,858,488,510.80

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Solution

The fourth proportional to 206,858,488,510.80, 310,287,732,766.20 and 206,858,488,510.80 is: 310,287,732,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,858,488,510.80 : 310,287,732,766.20 = 206,858,488,510.80 : x
  2. Step 2: Convert to fraction form
    206,858,488,510.80/310,287,732,766.20 = 206,858,488,510.80/x
  3. Step 3: Cross multiply
    206,858,488,510.80x = 310,287,732,766.20 × 206,858,488,510.80
  4. Step 4: Simplify right side
    206,858,488,510.80x = 64,185,651,403,459,160,702,976
  5. Step 5: Solve for x
    x = 64,185,651,403,459,160,702,976/206,858,488,510.80
  6. Step 6: Final answer
    x = 310,287,732,766.20

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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.