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Finding the Fourth Proportional to 598,752,085.60, 836,212,186.40 and 598,752,085.60

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Solution

The fourth proportional to 598,752,085.60, 836,212,186.40 and 598,752,085.60 is: 836,212,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,752,085.60 : 836,212,186.40 = 598,752,085.60 : x
  2. Step 2: Convert to fraction form
    598,752,085.60/836,212,186.40 = 598,752,085.60/x
  3. Step 3: Cross multiply
    598,752,085.60x = 836,212,186.40 × 598,752,085.60
  4. Step 4: Simplify right side
    598,752,085.60x = 500,683,790,611,135,936
  5. Step 5: Solve for x
    x = 500,683,790,611,135,936/598,752,085.60
  6. Step 6: Final answer
    x = 836,212,186.40

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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.