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Finding the Fourth Proportional to 548,282,624.57, 822,343,039.68 and 160,001,201.15

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Solution

The fourth proportional to 548,282,624.57, 822,343,039.68 and 160,001,201.15 is: 239,978,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,282,624.57 : 822,343,039.68 = 160,001,201.15 : x
  2. Step 2: Convert to fraction form
    548,282,624.57/822,343,039.68 = 160,001,201.15/x
  3. Step 3: Cross multiply
    548,282,624.57x = 822,343,039.68 × 160,001,201.15
  4. Step 4: Simplify right side
    548,282,624.57x = 131,575,874,101,430,400
  5. Step 5: Solve for x
    x = 131,575,874,101,430,400/548,282,624.57
  6. Step 6: Final answer
    x = 239,978,194.10

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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.