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Finding the Fourth Proportional to 5,213,643.10, 7,820,464.65 and 5,213,643.10

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Solution

The fourth proportional to 5,213,643.10, 7,820,464.65 and 5,213,643.10 is: 7,820,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213,643.10 : 7,820,464.65 = 5,213,643.10 : x
  2. Step 2: Convert to fraction form
    5,213,643.10/7,820,464.65 = 5,213,643.10/x
  3. Step 3: Cross multiply
    5,213,643.10x = 7,820,464.65 × 5,213,643.10
  4. Step 4: Simplify right side
    5,213,643.10x = 40,773,111,561,266.41
  5. Step 5: Solve for x
    x = 40,773,111,561,266.41/5,213,643.10
  6. Step 6: Final answer
    x = 7,820,464.65

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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.