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Finding the Fourth Proportional to 534,284,943,373.23, 801,427,415,059.80 and 534,284,943,373.23

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Solution

The fourth proportional to 534,284,943,373.23, 801,427,415,059.80 and 534,284,943,373.23 is: 801,427,415,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,284,943,373.23 : 801,427,415,059.80 = 534,284,943,373.23 : x
  2. Step 2: Convert to fraction form
    534,284,943,373.23/801,427,415,059.80 = 534,284,943,373.23/x
  3. Step 3: Cross multiply
    534,284,943,373.23x = 801,427,415,059.80 × 534,284,943,373.23
  4. Step 4: Simplify right side
    534,284,943,373.23x = 428,190,601,072,979,317,096,448
  5. Step 5: Solve for x
    x = 428,190,601,072,979,317,096,448/534,284,943,373.23
  6. Step 6: Final answer
    x = 801,427,415,059.80

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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.