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Finding the Fourth Proportional to 602,496,007.80, 903,744,011.70 and 165,795,847.80

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Solution

The fourth proportional to 602,496,007.80, 903,744,011.70 and 165,795,847.80 is: 248,693,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,496,007.80 : 903,744,011.70 = 165,795,847.80 : x
  2. Step 2: Convert to fraction form
    602,496,007.80/903,744,011.70 = 165,795,847.80/x
  3. Step 3: Cross multiply
    602,496,007.80x = 903,744,011.70 × 165,795,847.80
  4. Step 4: Simplify right side
    602,496,007.80x = 149,837,004,613,974,624
  5. Step 5: Solve for x
    x = 149,837,004,613,974,624/602,496,007.80
  6. Step 6: Final answer
    x = 248,693,771.70

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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.