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Finding the Fourth Proportional to 297,038,864,643.60, 445,558,296,965.40 and 297,038,864,643.60

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Solution

The fourth proportional to 297,038,864,643.60, 445,558,296,965.40 and 297,038,864,643.60 is: 445,558,296,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,038,864,643.60 : 445,558,296,965.40 = 297,038,864,643.60 : x
  2. Step 2: Convert to fraction form
    297,038,864,643.60/445,558,296,965.40 = 297,038,864,643.60/x
  3. Step 3: Cross multiply
    297,038,864,643.60x = 445,558,296,965.40 × 297,038,864,643.60
  4. Step 4: Simplify right side
    297,038,864,643.60x = 132,348,130,663,138,383,101,952
  5. Step 5: Solve for x
    x = 132,348,130,663,138,383,101,952/297,038,864,643.60
  6. Step 6: Final answer
    x = 445,558,296,965.40

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1.5x scale

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.