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Finding the Fourth Proportional to 534,284,948,696.45, 801,427,423,044.70 and 534,284,948,696.45

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Solution

The fourth proportional to 534,284,948,696.45, 801,427,423,044.70 and 534,284,948,696.45 is: 801,427,423,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,284,948,696.45 : 801,427,423,044.70 = 534,284,948,696.45 : x
  2. Step 2: Convert to fraction form
    534,284,948,696.45/801,427,423,044.70 = 534,284,948,696.45/x
  3. Step 3: Cross multiply
    534,284,948,696.45x = 801,427,423,044.70 × 534,284,948,696.45
  4. Step 4: Simplify right side
    534,284,948,696.45x = 428,190,609,605,365,642,297,344
  5. Step 5: Solve for x
    x = 428,190,609,605,365,642,297,344/534,284,948,696.45
  6. Step 6: Final answer
    x = 801,427,423,044.70

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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.