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Finding the Fourth Proportional to 2,854,793,257,200.70, 4,282,189,885,801 and 2,854,793,257,200.70

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Solution

The fourth proportional to 2,854,793,257,200.70, 4,282,189,885,801 and 2,854,793,257,200.70 is: 4,282,189,885,801.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,793,257,200.70 : 4,282,189,885,801 = 2,854,793,257,200.70 : x
  2. Step 2: Convert to fraction form
    2,854,793,257,200.70/4,282,189,885,801 = 2,854,793,257,200.70/x
  3. Step 3: Cross multiply
    2,854,793,257,200.70x = 4,282,189,885,801 × 2,854,793,257,200.70
  4. Step 4: Simplify right side
    2,854,793,257,200.70x = 12,224,766,812,037,731,911,204,864
  5. Step 5: Solve for x
    x = 12,224,766,812,037,731,911,204,864/2,854,793,257,200.70
  6. Step 6: Final answer
    x = 4,282,189,885,801.00

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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.