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Finding the Fourth Proportional to 1,257,029,782.65, 1,885,544,673.98 and 1,257,029,782.65

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Solution

The fourth proportional to 1,257,029,782.65, 1,885,544,673.98 and 1,257,029,782.65 is: 1,885,544,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,029,782.65 : 1,885,544,673.98 = 1,257,029,782.65 : x
  2. Step 2: Convert to fraction form
    1,257,029,782.65/1,885,544,673.98 = 1,257,029,782.65/x
  3. Step 3: Cross multiply
    1,257,029,782.65x = 1,885,544,673.98 × 1,257,029,782.65
  4. Step 4: Simplify right side
    1,257,029,782.65x = 2,370,185,811,703,659,520
  5. Step 5: Solve for x
    x = 2,370,185,811,703,659,520/1,257,029,782.65
  6. Step 6: Final answer
    x = 1,885,544,673.98

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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.