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Finding the Fourth Proportional to 394,599,869.40, 553,346,809.80 and 394,599,869.40

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Solution

The fourth proportional to 394,599,869.40, 553,346,809.80 and 394,599,869.40 is: 553,346,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,599,869.40 : 553,346,809.80 = 394,599,869.40 : x
  2. Step 2: Convert to fraction form
    394,599,869.40/553,346,809.80 = 394,599,869.40/x
  3. Step 3: Cross multiply
    394,599,869.40x = 553,346,809.80 × 394,599,869.40
  4. Step 4: Simplify right side
    394,599,869.40x = 218,350,578,879,986,624
  5. Step 5: Solve for x
    x = 218,350,578,879,986,624/394,599,869.40
  6. Step 6: Final answer
    x = 553,346,809.80

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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.