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Finding the Fourth Proportional to 20,348,944,946.70, 30,523,417,420.05 and 20,348,944,946.70

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Solution

The fourth proportional to 20,348,944,946.70, 30,523,417,420.05 and 20,348,944,946.70 is: 30,523,417,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348,944,946.70 : 30,523,417,420.05 = 20,348,944,946.70 : x
  2. Step 2: Convert to fraction form
    20,348,944,946.70/30,523,417,420.05 = 20,348,944,946.70/x
  3. Step 3: Cross multiply
    20,348,944,946.70x = 30,523,417,420.05 × 20,348,944,946.70
  4. Step 4: Simplify right side
    20,348,944,946.70x = 621,119,340,665,741,246,464
  5. Step 5: Solve for x
    x = 621,119,340,665,741,246,464/20,348,944,946.70
  6. Step 6: Final answer
    x = 30,523,417,420.05

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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.