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Finding the Fourth Proportional to 28,164,096,023.60, 42,246,144,035.40 and 28,164,096,023.60

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Solution

The fourth proportional to 28,164,096,023.60, 42,246,144,035.40 and 28,164,096,023.60 is: 42,246,144,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,164,096,023.60 : 42,246,144,035.40 = 28,164,096,023.60 : x
  2. Step 2: Convert to fraction form
    28,164,096,023.60/42,246,144,035.40 = 28,164,096,023.60/x
  3. Step 3: Cross multiply
    28,164,096,023.60x = 42,246,144,035.40 × 28,164,096,023.60
  4. Step 4: Simplify right side
    28,164,096,023.60x = 1,189,824,457,239,841,996,800
  5. Step 5: Solve for x
    x = 1,189,824,457,239,841,996,800/28,164,096,023.60
  6. Step 6: Final answer
    x = 42,246,144,035.40

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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.