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Finding the Fourth Proportional to 1,638,617,967.10, 2,457,926,950.65 and 1,638,617,967.10

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Solution

The fourth proportional to 1,638,617,967.10, 2,457,926,950.65 and 1,638,617,967.10 is: 2,457,926,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,617,967.10 : 2,457,926,950.65 = 1,638,617,967.10 : x
  2. Step 2: Convert to fraction form
    1,638,617,967.10/2,457,926,950.65 = 1,638,617,967.10/x
  3. Step 3: Cross multiply
    1,638,617,967.10x = 2,457,926,950.65 × 1,638,617,967.10
  4. Step 4: Simplify right side
    1,638,617,967.10x = 4,027,603,263,154,404,864
  5. Step 5: Solve for x
    x = 4,027,603,263,154,404,864/1,638,617,967.10
  6. Step 6: Final answer
    x = 2,457,926,950.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.