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Finding the Fourth Proportional to 409,957,515.60, 614,936,273.40 and 409,957,515.60

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Solution

The fourth proportional to 409,957,515.60, 614,936,273.40 and 409,957,515.60 is: 614,936,273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,957,515.60 : 614,936,273.40 = 409,957,515.60 : x
  2. Step 2: Convert to fraction form
    409,957,515.60/614,936,273.40 = 409,957,515.60/x
  3. Step 3: Cross multiply
    409,957,515.60x = 614,936,273.40 × 409,957,515.60
  4. Step 4: Simplify right side
    409,957,515.60x = 252,097,746,895,386,368
  5. Step 5: Solve for x
    x = 252,097,746,895,386,368/409,957,515.60
  6. Step 6: Final answer
    x = 614,936,273.40

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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.