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Finding the Fourth Proportional to 490,114,846.40, 687,882,653.80 and 490,114,846.40

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Solution

The fourth proportional to 490,114,846.40, 687,882,653.80 and 490,114,846.40 is: 687,882,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,114,846.40 : 687,882,653.80 = 490,114,846.40 : x
  2. Step 2: Convert to fraction form
    490,114,846.40/687,882,653.80 = 490,114,846.40/x
  3. Step 3: Cross multiply
    490,114,846.40x = 687,882,653.80 × 490,114,846.40
  4. Step 4: Simplify right side
    490,114,846.40x = 337,141,501,208,411,328
  5. Step 5: Solve for x
    x = 337,141,501,208,411,328/490,114,846.40
  6. Step 6: Final answer
    x = 687,882,653.80

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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.