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Finding the Fourth Proportional to 206,376,405.60, 309,564,608.40 and 83,554,485.60

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Solution

The fourth proportional to 206,376,405.60, 309,564,608.40 and 83,554,485.60 is: 125,331,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,376,405.60 : 309,564,608.40 = 83,554,485.60 : x
  2. Step 2: Convert to fraction form
    206,376,405.60/309,564,608.40 = 83,554,485.60/x
  3. Step 3: Cross multiply
    206,376,405.60x = 309,564,608.40 × 83,554,485.60
  4. Step 4: Simplify right side
    206,376,405.60x = 25,865,511,614,827,436
  5. Step 5: Solve for x
    x = 25,865,511,614,827,436/206,376,405.60
  6. Step 6: Final answer
    x = 125,331,728.40

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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.