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Finding the Fourth Proportional to 10,230,355,612.80, 15,345,533,419.20 and 10,230,355,612.80

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Solution

The fourth proportional to 10,230,355,612.80, 15,345,533,419.20 and 10,230,355,612.80 is: 15,345,533,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230,355,612.80 : 15,345,533,419.20 = 10,230,355,612.80 : x
  2. Step 2: Convert to fraction form
    10,230,355,612.80/15,345,533,419.20 = 10,230,355,612.80/x
  3. Step 3: Cross multiply
    10,230,355,612.80x = 15,345,533,419.20 × 10,230,355,612.80
  4. Step 4: Simplify right side
    10,230,355,612.80x = 156,990,263,946,522,689,536
  5. Step 5: Solve for x
    x = 156,990,263,946,522,689,536/10,230,355,612.80
  6. Step 6: Final answer
    x = 15,345,533,419.20

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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.