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Finding the Fourth Proportional to 206,460,484,993.60, 309,690,727,490.40 and 206,460,484,993.60

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Solution

The fourth proportional to 206,460,484,993.60, 309,690,727,490.40 and 206,460,484,993.60 is: 309,690,727,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,460,484,993.60 : 309,690,727,490.40 = 206,460,484,993.60 : x
  2. Step 2: Convert to fraction form
    206,460,484,993.60/309,690,727,490.40 = 206,460,484,993.60/x
  3. Step 3: Cross multiply
    206,460,484,993.60x = 309,690,727,490.40 × 206,460,484,993.60
  4. Step 4: Simplify right side
    206,460,484,993.60x = 63,938,897,795,688,807,006,208
  5. Step 5: Solve for x
    x = 63,938,897,795,688,807,006,208/206,460,484,993.60
  6. Step 6: Final answer
    x = 309,690,727,490.40

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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.