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Finding the Fourth Proportional to 209,736,301.60, 314,604,452.40 and 133,397,754.40

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Solution

The fourth proportional to 209,736,301.60, 314,604,452.40 and 133,397,754.40 is: 200,096,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,736,301.60 : 314,604,452.40 = 133,397,754.40 : x
  2. Step 2: Convert to fraction form
    209,736,301.60/314,604,452.40 = 133,397,754.40/x
  3. Step 3: Cross multiply
    209,736,301.60x = 314,604,452.40 × 133,397,754.40
  4. Step 4: Simplify right side
    209,736,301.60x = 41,967,527,474,401,688
  5. Step 5: Solve for x
    x = 41,967,527,474,401,688/209,736,301.60
  6. Step 6: Final answer
    x = 200,096,631.60

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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.