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Finding the Fourth Proportional to 64,704,112,276.40, 97,056,168,414.60 and 64,704,112,276.40

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Solution

The fourth proportional to 64,704,112,276.40, 97,056,168,414.60 and 64,704,112,276.40 is: 97,056,168,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,704,112,276.40 : 97,056,168,414.60 = 64,704,112,276.40 : x
  2. Step 2: Convert to fraction form
    64,704,112,276.40/97,056,168,414.60 = 64,704,112,276.40/x
  3. Step 3: Cross multiply
    64,704,112,276.40x = 97,056,168,414.60 × 64,704,112,276.40
  4. Step 4: Simplify right side
    64,704,112,276.40x = 6,279,933,218,215,465,844,736
  5. Step 5: Solve for x
    x = 6,279,933,218,215,465,844,736/64,704,112,276.40
  6. Step 6: Final answer
    x = 97,056,168,414.60

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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.