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Finding the Fourth Proportional to 583,258,609,546.80, 874,887,914,320.20 and 583,258,609,546.80

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Solution

The fourth proportional to 583,258,609,546.80, 874,887,914,320.20 and 583,258,609,546.80 is: 874,887,914,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,258,609,546.80 : 874,887,914,320.20 = 583,258,609,546.80 : x
  2. Step 2: Convert to fraction form
    583,258,609,546.80/874,887,914,320.20 = 583,258,609,546.80/x
  3. Step 3: Cross multiply
    583,258,609,546.80x = 874,887,914,320.20 × 583,258,609,546.80
  4. Step 4: Simplify right side
    583,258,609,546.80x = 510,285,908,415,699,732,135,936
  5. Step 5: Solve for x
    x = 510,285,908,415,699,732,135,936/583,258,609,546.80
  6. Step 6: Final answer
    x = 874,887,914,320.20

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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.