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Finding the Fourth Proportional to 465,472,590,900.06, 698,208,886,350.09 and 465,472,590,900.06

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Solution

The fourth proportional to 465,472,590,900.06, 698,208,886,350.09 and 465,472,590,900.06 is: 698,208,886,350.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,472,590,900.06 : 698,208,886,350.09 = 465,472,590,900.06 : x
  2. Step 2: Convert to fraction form
    465,472,590,900.06/698,208,886,350.09 = 465,472,590,900.06/x
  3. Step 3: Cross multiply
    465,472,590,900.06x = 698,208,886,350.09 × 465,472,590,900.06
  4. Step 4: Simplify right side
    465,472,590,900.06x = 324,997,099,318,821,936,693,248
  5. Step 5: Solve for x
    x = 324,997,099,318,821,936,693,248/465,472,590,900.06
  6. Step 6: Final answer
    x = 698,208,886,350.09

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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.