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Finding the Fourth Proportional to 387,117,096,009.60, 580,675,644,014.40 and 387,117,096,009.60

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Solution

The fourth proportional to 387,117,096,009.60, 580,675,644,014.40 and 387,117,096,009.60 is: 580,675,644,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,117,096,009.60 : 580,675,644,014.40 = 387,117,096,009.60 : x
  2. Step 2: Convert to fraction form
    387,117,096,009.60/580,675,644,014.40 = 387,117,096,009.60/x
  3. Step 3: Cross multiply
    387,117,096,009.60x = 580,675,644,014.40 × 387,117,096,009.60
  4. Step 4: Simplify right side
    387,117,096,009.60x = 224,789,469,034,358,784,393,216
  5. Step 5: Solve for x
    x = 224,789,469,034,358,784,393,216/387,117,096,009.60
  6. Step 6: Final answer
    x = 580,675,644,014.40

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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.