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Finding the Fourth Proportional to 209,736,267.60, 314,604,401.40 and 133,397,720.40

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Solution

The fourth proportional to 209,736,267.60, 314,604,401.40 and 133,397,720.40 is: 200,096,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,736,267.60 : 314,604,401.40 = 133,397,720.40 : x
  2. Step 2: Convert to fraction form
    209,736,267.60/314,604,401.40 = 133,397,720.40/x
  3. Step 3: Cross multiply
    209,736,267.60x = 314,604,401.40 × 133,397,720.40
  4. Step 4: Simplify right side
    209,736,267.60x = 41,967,509,974,566,568
  5. Step 5: Solve for x
    x = 41,967,509,974,566,568/209,736,267.60
  6. Step 6: Final answer
    x = 200,096,580.60

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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.