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Finding the Fourth Proportional to 280,492,364.40, 420,738,546.60 and 232,716,620.40

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Solution

The fourth proportional to 280,492,364.40, 420,738,546.60 and 232,716,620.40 is: 349,074,930.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,492,364.40 : 420,738,546.60 = 232,716,620.40 : x
  2. Step 2: Convert to fraction form
    280,492,364.40/420,738,546.60 = 232,716,620.40/x
  3. Step 3: Cross multiply
    280,492,364.40x = 420,738,546.60 × 232,716,620.40
  4. Step 4: Simplify right side
    280,492,364.40x = 97,912,852,636,759,920
  5. Step 5: Solve for x
    x = 97,912,852,636,759,920/280,492,364.40
  6. Step 6: Final answer
    x = 349,074,930.60

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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.