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Finding the Fourth Proportional to 439,877,529.60, 659,816,294.40 and 439,877,529.60

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Solution

The fourth proportional to 439,877,529.60, 659,816,294.40 and 439,877,529.60 is: 659,816,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,877,529.60 : 659,816,294.40 = 439,877,529.60 : x
  2. Step 2: Convert to fraction form
    439,877,529.60/659,816,294.40 = 439,877,529.60/x
  3. Step 3: Cross multiply
    439,877,529.60x = 659,816,294.40 × 439,877,529.60
  4. Step 4: Simplify right side
    439,877,529.60x = 290,238,361,570,498,304
  5. Step 5: Solve for x
    x = 290,238,361,570,498,304/439,877,529.60
  6. Step 6: Final answer
    x = 659,816,294.40

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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.