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Finding the Fourth Proportional to 411,036,405.90, 616,554,608.85 and 411,036,405.90

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Solution

The fourth proportional to 411,036,405.90, 616,554,608.85 and 411,036,405.90 is: 616,554,608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,036,405.90 : 616,554,608.85 = 411,036,405.90 : x
  2. Step 2: Convert to fraction form
    411,036,405.90/616,554,608.85 = 411,036,405.90/x
  3. Step 3: Cross multiply
    411,036,405.90x = 616,554,608.85 × 411,036,405.90
  4. Step 4: Simplify right side
    411,036,405.90x = 253,426,390,462,784,320
  5. Step 5: Solve for x
    x = 253,426,390,462,784,320/411,036,405.90
  6. Step 6: Final answer
    x = 616,554,608.85

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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.