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Finding the Fourth Proportional to 534,284,948,696.25, 801,427,423,044.30 and 534,284,948,696.25

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Solution

The fourth proportional to 534,284,948,696.25, 801,427,423,044.30 and 534,284,948,696.25 is: 801,427,423,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,284,948,696.25 : 801,427,423,044.30 = 534,284,948,696.25 : x
  2. Step 2: Convert to fraction form
    534,284,948,696.25/801,427,423,044.30 = 534,284,948,696.25/x
  3. Step 3: Cross multiply
    534,284,948,696.25x = 801,427,423,044.30 × 534,284,948,696.25
  4. Step 4: Simplify right side
    534,284,948,696.25x = 428,190,609,604,991,711,707,136
  5. Step 5: Solve for x
    x = 428,190,609,604,991,711,707,136/534,284,948,696.25
  6. Step 6: Final answer
    x = 801,427,423,044.30

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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.