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Finding the Fourth Proportional to 442,476,281.40, 618,318,881.40 and 442,476,281.40

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Solution

The fourth proportional to 442,476,281.40, 618,318,881.40 and 442,476,281.40 is: 618,318,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,476,281.40 : 618,318,881.40 = 442,476,281.40 : x
  2. Step 2: Convert to fraction form
    442,476,281.40/618,318,881.40 = 442,476,281.40/x
  3. Step 3: Cross multiply
    442,476,281.40x = 618,318,881.40 × 442,476,281.40
  4. Step 4: Simplify right side
    442,476,281.40x = 273,591,439,361,279,616
  5. Step 5: Solve for x
    x = 273,591,439,361,279,616/442,476,281.40
  6. Step 6: Final answer
    x = 618,318,881.40

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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.