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Finding the Fourth Proportional to 297,038,961,813.60, 445,558,442,720.40 and 297,038,961,813.60

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Solution

The fourth proportional to 297,038,961,813.60, 445,558,442,720.40 and 297,038,961,813.60 is: 445,558,442,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,038,961,813.60 : 445,558,442,720.40 = 297,038,961,813.60 : x
  2. Step 2: Convert to fraction form
    297,038,961,813.60/445,558,442,720.40 = 297,038,961,813.60/x
  3. Step 3: Cross multiply
    297,038,961,813.60x = 445,558,442,720.40 × 297,038,961,813.60
  4. Step 4: Simplify right side
    297,038,961,813.60x = 132,348,217,252,951,969,759,232
  5. Step 5: Solve for x
    x = 132,348,217,252,951,969,759,232/297,038,961,813.60
  6. Step 6: Final answer
    x = 445,558,442,720.40

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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.