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Finding the Fourth Proportional to 883,583,999.10, 1,325,375,998.65 and 301,974,968.70

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Solution

The fourth proportional to 883,583,999.10, 1,325,375,998.65 and 301,974,968.70 is: 452,962,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,583,999.10 : 1,325,375,998.65 = 301,974,968.70 : x
  2. Step 2: Convert to fraction form
    883,583,999.10/1,325,375,998.65 = 301,974,968.70/x
  3. Step 3: Cross multiply
    883,583,999.10x = 1,325,375,998.65 × 301,974,968.70
  4. Step 4: Simplify right side
    883,583,999.10x = 400,230,375,708,065,024
  5. Step 5: Solve for x
    x = 400,230,375,708,065,024/883,583,999.10
  6. Step 6: Final answer
    x = 452,962,453.05

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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.