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Finding the Fourth Proportional to 288,741,627.60, 433,112,441.40 and 143,197,652.40

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Solution

The fourth proportional to 288,741,627.60, 433,112,441.40 and 143,197,652.40 is: 214,796,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,741,627.60 : 433,112,441.40 = 143,197,652.40 : x
  2. Step 2: Convert to fraction form
    288,741,627.60/433,112,441.40 = 143,197,652.40/x
  3. Step 3: Cross multiply
    288,741,627.60x = 433,112,441.40 × 143,197,652.40
  4. Step 4: Simplify right side
    288,741,627.60x = 62,020,684,833,712,568
  5. Step 5: Solve for x
    x = 62,020,684,833,712,568/288,741,627.60
  6. Step 6: Final answer
    x = 214,796,478.60

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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.