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Finding the Fourth Proportional to 591,904,909.10, 830,027,361.70 and 591,904,909.10

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Solution

The fourth proportional to 591,904,909.10, 830,027,361.70 and 591,904,909.10 is: 830,027,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,904,909.10 : 830,027,361.70 = 591,904,909.10 : x
  2. Step 2: Convert to fraction form
    591,904,909.10/830,027,361.70 = 591,904,909.10/x
  3. Step 3: Cross multiply
    591,904,909.10x = 830,027,361.70 × 591,904,909.10
  4. Step 4: Simplify right side
    591,904,909.10x = 491,297,270,077,551,360
  5. Step 5: Solve for x
    x = 491,297,270,077,551,360/591,904,909.10
  6. Step 6: Final answer
    x = 830,027,361.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.