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Finding the Fourth Proportional to 702,120,511.38, 968,459,651.53 and 451,541,886.47

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Solution

The fourth proportional to 702,120,511.38, 968,459,651.53 and 451,541,886.47 is: 622,827,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,120,511.38 : 968,459,651.53 = 451,541,886.47 : x
  2. Step 2: Convert to fraction form
    702,120,511.38/968,459,651.53 = 451,541,886.47/x
  3. Step 3: Cross multiply
    702,120,511.38x = 968,459,651.53 × 451,541,886.47
  4. Step 4: Simplify right side
    702,120,511.38x = 437,300,098,025,048,064
  5. Step 5: Solve for x
    x = 437,300,098,025,048,064/702,120,511.38
  6. Step 6: Final answer
    x = 622,827,692.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.