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Finding the Fourth Proportional to 411,036,405.65, 616,554,608.48 and 411,036,405.65

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Solution

The fourth proportional to 411,036,405.65, 616,554,608.48 and 411,036,405.65 is: 616,554,608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,036,405.65 : 616,554,608.48 = 411,036,405.65 : x
  2. Step 2: Convert to fraction form
    411,036,405.65/616,554,608.48 = 411,036,405.65/x
  3. Step 3: Cross multiply
    411,036,405.65x = 616,554,608.48 × 411,036,405.65
  4. Step 4: Simplify right side
    411,036,405.65x = 253,426,390,156,562,208
  5. Step 5: Solve for x
    x = 253,426,390,156,562,208/411,036,405.65
  6. Step 6: Final answer
    x = 616,554,608.48

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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.