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Finding the Fourth Proportional to 413,494,869.60, 620,242,304.40 and 413,494,869.60

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Solution

The fourth proportional to 413,494,869.60, 620,242,304.40 and 413,494,869.60 is: 620,242,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,494,869.60 : 620,242,304.40 = 413,494,869.60 : x
  2. Step 2: Convert to fraction form
    413,494,869.60/620,242,304.40 = 413,494,869.60/x
  3. Step 3: Cross multiply
    413,494,869.60x = 620,242,304.40 × 413,494,869.60
  4. Step 4: Simplify right side
    413,494,869.60x = 256,467,010,778,281,504
  5. Step 5: Solve for x
    x = 256,467,010,778,281,504/413,494,869.60
  6. Step 6: Final answer
    x = 620,242,304.40

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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.