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Finding the Fourth Proportional to 3,485,382,004.65, 4,891,779,207.15 and 3,485,382,004.65

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Solution

The fourth proportional to 3,485,382,004.65, 4,891,779,207.15 and 3,485,382,004.65 is: 4,891,779,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485,382,004.65 : 4,891,779,207.15 = 3,485,382,004.65 : x
  2. Step 2: Convert to fraction form
    3,485,382,004.65/4,891,779,207.15 = 3,485,382,004.65/x
  3. Step 3: Cross multiply
    3,485,382,004.65x = 4,891,779,207.15 × 3,485,382,004.65
  4. Step 4: Simplify right side
    3,485,382,004.65x = 17,049,719,219,321,653,248
  5. Step 5: Solve for x
    x = 17,049,719,219,321,653,248/3,485,382,004.65
  6. Step 6: Final answer
    x = 4,891,779,207.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.