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Finding the Fourth Proportional to 10,202,019,432.70, 15,303,029,149.05 and 10,202,019,432.70

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Solution

The fourth proportional to 10,202,019,432.70, 15,303,029,149.05 and 10,202,019,432.70 is: 15,303,029,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202,019,432.70 : 15,303,029,149.05 = 10,202,019,432.70 : x
  2. Step 2: Convert to fraction form
    10,202,019,432.70/15,303,029,149.05 = 10,202,019,432.70/x
  3. Step 3: Cross multiply
    10,202,019,432.70x = 15,303,029,149.05 × 10,202,019,432.70
  4. Step 4: Simplify right side
    10,202,019,432.70x = 156,121,800,757,782,642,688
  5. Step 5: Solve for x
    x = 156,121,800,757,782,642,688/10,202,019,432.70
  6. Step 6: Final answer
    x = 15,303,029,149.05

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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.