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Finding the Fourth Proportional to 78,246,143,200.20, 117,369,214,800.30 and 78,246,143,200.20

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Solution

The fourth proportional to 78,246,143,200.20, 117,369,214,800.30 and 78,246,143,200.20 is: 117,369,214,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,246,143,200.20 : 117,369,214,800.30 = 78,246,143,200.20 : x
  2. Step 2: Convert to fraction form
    78,246,143,200.20/117,369,214,800.30 = 78,246,143,200.20/x
  3. Step 3: Cross multiply
    78,246,143,200.20x = 117,369,214,800.30 × 78,246,143,200.20
  4. Step 4: Simplify right side
    78,246,143,200.20x = 9,183,688,388,559,307,276,288
  5. Step 5: Solve for x
    x = 9,183,688,388,559,307,276,288/78,246,143,200.20
  6. Step 6: Final answer
    x = 117,369,214,800.30

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.