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Finding the Fourth Proportional to 268,001,408.40, 402,002,112.60 and 176,168,403.60

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Solution

The fourth proportional to 268,001,408.40, 402,002,112.60 and 176,168,403.60 is: 264,252,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,001,408.40 : 402,002,112.60 = 176,168,403.60 : x
  2. Step 2: Convert to fraction form
    268,001,408.40/402,002,112.60 = 176,168,403.60/x
  3. Step 3: Cross multiply
    268,001,408.40x = 402,002,112.60 × 176,168,403.60
  4. Step 4: Simplify right side
    268,001,408.40x = 70,820,070,420,569,448
  5. Step 5: Solve for x
    x = 70,820,070,420,569,448/268,001,408.40
  6. Step 6: Final answer
    x = 264,252,605.40

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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.