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Finding the Fourth Proportional to 490,051,344.60, 686,582,065.80 and 490,051,344.60

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Solution

The fourth proportional to 490,051,344.60, 686,582,065.80 and 490,051,344.60 is: 686,582,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,051,344.60 : 686,582,065.80 = 490,051,344.60 : x
  2. Step 2: Convert to fraction form
    490,051,344.60/686,582,065.80 = 490,051,344.60/x
  3. Step 3: Cross multiply
    490,051,344.60x = 686,582,065.80 × 490,051,344.60
  4. Step 4: Simplify right side
    490,051,344.60x = 336,460,464,523,535,680
  5. Step 5: Solve for x
    x = 336,460,464,523,535,680/490,051,344.60
  6. Step 6: Final answer
    x = 686,582,065.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.