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Finding the Fourth Proportional to 548,282,656.29, 822,343,087.20 and 160,001,232.87

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Solution

The fourth proportional to 548,282,656.29, 822,343,087.20 and 160,001,232.87 is: 239,978,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,282,656.29 : 822,343,087.20 = 160,001,232.87 : x
  2. Step 2: Convert to fraction form
    548,282,656.29/822,343,087.20 = 160,001,232.87/x
  3. Step 3: Cross multiply
    548,282,656.29x = 822,343,087.20 × 160,001,232.87
  4. Step 4: Simplify right side
    548,282,656.29x = 131,575,907,794,121,920
  5. Step 5: Solve for x
    x = 131,575,907,794,121,920/548,282,656.29
  6. Step 6: Final answer
    x = 239,978,241.67

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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.