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Finding the Fourth Proportional to 1,257,029,779.65, 1,885,544,669.48 and 1,257,029,779.65

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Solution

The fourth proportional to 1,257,029,779.65, 1,885,544,669.48 and 1,257,029,779.65 is: 1,885,544,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,029,779.65 : 1,885,544,669.48 = 1,257,029,779.65 : x
  2. Step 2: Convert to fraction form
    1,257,029,779.65/1,885,544,669.48 = 1,257,029,779.65/x
  3. Step 3: Cross multiply
    1,257,029,779.65x = 1,885,544,669.48 × 1,257,029,779.65
  4. Step 4: Simplify right side
    1,257,029,779.65x = 2,370,185,800,390,391,296
  5. Step 5: Solve for x
    x = 2,370,185,800,390,391,296/1,257,029,779.65
  6. Step 6: Final answer
    x = 1,885,544,669.48

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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.