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Finding the Fourth Proportional to 3,485,382,009.65, 4,891,779,214.15 and 3,485,382,009.65

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Solution

The fourth proportional to 3,485,382,009.65, 4,891,779,214.15 and 3,485,382,009.65 is: 4,891,779,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485,382,009.65 : 4,891,779,214.15 = 3,485,382,009.65 : x
  2. Step 2: Convert to fraction form
    3,485,382,009.65/4,891,779,214.15 = 3,485,382,009.65/x
  3. Step 3: Cross multiply
    3,485,382,009.65x = 4,891,779,214.15 × 3,485,382,009.65
  4. Step 4: Simplify right side
    3,485,382,009.65x = 17,049,719,268,178,223,104
  5. Step 5: Solve for x
    x = 17,049,719,268,178,223,104/3,485,382,009.65
  6. Step 6: Final answer
    x = 4,891,779,214.15

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