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Finding the Fourth Proportional to 613,165,718.80, 919,748,578.20 and 613,165,718.80

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Solution

The fourth proportional to 613,165,718.80, 919,748,578.20 and 613,165,718.80 is: 919,748,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,165,718.80 : 919,748,578.20 = 613,165,718.80 : x
  2. Step 2: Convert to fraction form
    613,165,718.80/919,748,578.20 = 613,165,718.80/x
  3. Step 3: Cross multiply
    613,165,718.80x = 919,748,578.20 × 613,165,718.80
  4. Step 4: Simplify right side
    613,165,718.80x = 563,958,298,067,281,024
  5. Step 5: Solve for x
    x = 563,958,298,067,281,024/613,165,718.80
  6. Step 6: Final answer
    x = 919,748,578.20

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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.