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Finding the Fourth Proportional to 409,669,968.65, 614,504,952.98 and 409,669,968.65

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Solution

The fourth proportional to 409,669,968.65, 614,504,952.98 and 409,669,968.65 is: 614,504,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,669,968.65 : 614,504,952.98 = 409,669,968.65 : x
  2. Step 2: Convert to fraction form
    409,669,968.65/614,504,952.98 = 409,669,968.65/x
  3. Step 3: Cross multiply
    409,669,968.65x = 614,504,952.98 × 409,669,968.65
  4. Step 4: Simplify right side
    409,669,968.65x = 251,744,224,820,537,984
  5. Step 5: Solve for x
    x = 251,744,224,820,537,984/409,669,968.65
  6. Step 6: Final answer
    x = 614,504,952.98

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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.