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Finding the Fourth Proportional to 297,252,670,827.60, 445,879,006,241.40 and 297,252,670,827.60

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Solution

The fourth proportional to 297,252,670,827.60, 445,879,006,241.40 and 297,252,670,827.60 is: 445,879,006,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,252,670,827.60 : 445,879,006,241.40 = 297,252,670,827.60 : x
  2. Step 2: Convert to fraction form
    297,252,670,827.60/445,879,006,241.40 = 297,252,670,827.60/x
  3. Step 3: Cross multiply
    297,252,670,827.60x = 445,879,006,241.40 × 297,252,670,827.60
  4. Step 4: Simplify right side
    297,252,670,827.60x = 132,538,725,471,212,273,664,000
  5. Step 5: Solve for x
    x = 132,538,725,471,212,273,664,000/297,252,670,827.60
  6. Step 6: Final answer
    x = 445,879,006,241.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.