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Finding the Fourth Proportional to 363,146,976,076.60, 544,720,464,114.90 and 363,146,976,076.60

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Solution

The fourth proportional to 363,146,976,076.60, 544,720,464,114.90 and 363,146,976,076.60 is: 544,720,464,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,146,976,076.60 : 544,720,464,114.90 = 363,146,976,076.60 : x
  2. Step 2: Convert to fraction form
    363,146,976,076.60/544,720,464,114.90 = 363,146,976,076.60/x
  3. Step 3: Cross multiply
    363,146,976,076.60x = 544,720,464,114.90 × 363,146,976,076.60
  4. Step 4: Simplify right side
    363,146,976,076.60x = 197,813,589,350,368,023,674,880
  5. Step 5: Solve for x
    x = 197,813,589,350,368,023,674,880/363,146,976,076.60
  6. Step 6: Final answer
    x = 544,720,464,114.90

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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.