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Finding the Fourth Proportional to 534,747,745,094.56, 802,121,617,641.81 and 534,747,745,094.56

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Solution

The fourth proportional to 534,747,745,094.56, 802,121,617,641.81 and 534,747,745,094.56 is: 802,121,617,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,747,745,094.56 : 802,121,617,641.81 = 534,747,745,094.56 : x
  2. Step 2: Convert to fraction form
    534,747,745,094.56/802,121,617,641.81 = 534,747,745,094.56/x
  3. Step 3: Cross multiply
    534,747,745,094.56x = 802,121,617,641.81 × 534,747,745,094.56
  4. Step 4: Simplify right side
    534,747,745,094.56x = 428,932,726,325,558,747,594,752
  5. Step 5: Solve for x
    x = 428,932,726,325,558,747,594,752/534,747,745,094.56
  6. Step 6: Final answer
    x = 802,121,617,641.81

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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.