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Finding the Fourth Proportional to 5,174,904,672,023.60, 7,762,357,008,035.40 and 5,174,904,672,023.60

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Solution

The fourth proportional to 5,174,904,672,023.60, 7,762,357,008,035.40 and 5,174,904,672,023.60 is: 7,762,357,008,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,904,672,023.60 : 7,762,357,008,035.40 = 5,174,904,672,023.60 : x
  2. Step 2: Convert to fraction form
    5,174,904,672,023.60/7,762,357,008,035.40 = 5,174,904,672,023.60/x
  3. Step 3: Cross multiply
    5,174,904,672,023.60x = 7,762,357,008,035.40 × 5,174,904,672,023.60
  4. Step 4: Simplify right side
    5,174,904,672,023.60x = 40,169,457,546,797,522,268,192,768
  5. Step 5: Solve for x
    x = 40,169,457,546,797,522,268,192,768/5,174,904,672,023.60
  6. Step 6: Final answer
    x = 7,762,357,008,035.40

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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.