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Finding the Fourth Proportional to 209,518,334.40, 314,277,501.60 and 209,518,334.40

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Solution

The fourth proportional to 209,518,334.40, 314,277,501.60 and 209,518,334.40 is: 314,277,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,518,334.40 : 314,277,501.60 = 209,518,334.40 : x
  2. Step 2: Convert to fraction form
    209,518,334.40/314,277,501.60 = 209,518,334.40/x
  3. Step 3: Cross multiply
    209,518,334.40x = 314,277,501.60 × 209,518,334.40
  4. Step 4: Simplify right side
    209,518,334.40x = 65,846,898,674,625,344
  5. Step 5: Solve for x
    x = 65,846,898,674,625,344/209,518,334.40
  6. Step 6: Final answer
    x = 314,277,501.60

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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.