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Finding the Fourth Proportional to 648,646,704,003.60, 972,970,056,005.40 and 648,646,704,003.60

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Solution

The fourth proportional to 648,646,704,003.60, 972,970,056,005.40 and 648,646,704,003.60 is: 972,970,056,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,646,704,003.60 : 972,970,056,005.40 = 648,646,704,003.60 : x
  2. Step 2: Convert to fraction form
    648,646,704,003.60/972,970,056,005.40 = 648,646,704,003.60/x
  3. Step 3: Cross multiply
    648,646,704,003.60x = 972,970,056,005.40 × 648,646,704,003.60
  4. Step 4: Simplify right side
    648,646,704,003.60x = 631,113,819,922,100,780,007,424
  5. Step 5: Solve for x
    x = 631,113,819,922,100,780,007,424/648,646,704,003.60
  6. Step 6: Final answer
    x = 972,970,056,005.40

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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.