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Finding the Fourth Proportional to 534,851,999.90, 801,002,541.45 and 534,851,999.90

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Solution

The fourth proportional to 534,851,999.90, 801,002,541.45 and 534,851,999.90 is: 801,002,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,851,999.90 : 801,002,541.45 = 534,851,999.90 : x
  2. Step 2: Convert to fraction form
    534,851,999.90/801,002,541.45 = 534,851,999.90/x
  3. Step 3: Cross multiply
    534,851,999.90x = 801,002,541.45 × 534,851,999.90
  4. Step 4: Simplify right side
    534,851,999.90x = 428,417,811,219,515,136
  5. Step 5: Solve for x
    x = 428,417,811,219,515,136/534,851,999.90
  6. Step 6: Final answer
    x = 801,002,541.45

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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.