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Finding the Fourth Proportional to 407,700,909.60, 572,393,704.80 and 407,700,909.60

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Solution

The fourth proportional to 407,700,909.60, 572,393,704.80 and 407,700,909.60 is: 572,393,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,700,909.60 : 572,393,704.80 = 407,700,909.60 : x
  2. Step 2: Convert to fraction form
    407,700,909.60/572,393,704.80 = 407,700,909.60/x
  3. Step 3: Cross multiply
    407,700,909.60x = 572,393,704.80 × 407,700,909.60
  4. Step 4: Simplify right side
    407,700,909.60x = 233,365,434,096,273,888
  5. Step 5: Solve for x
    x = 233,365,434,096,273,888/407,700,909.60
  6. Step 6: Final answer
    x = 572,393,704.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.