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Finding the Fourth Proportional to 6,798,664,981.60, 10,181,873,158.80 and 6,798,664,981.60

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Solution

The fourth proportional to 6,798,664,981.60, 10,181,873,158.80 and 6,798,664,981.60 is: 10,181,873,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798,664,981.60 : 10,181,873,158.80 = 6,798,664,981.60 : x
  2. Step 2: Convert to fraction form
    6,798,664,981.60/10,181,873,158.80 = 6,798,664,981.60/x
  3. Step 3: Cross multiply
    6,798,664,981.60x = 10,181,873,158.80 × 6,798,664,981.60
  4. Step 4: Simplify right side
    6,798,664,981.60x = 69,223,144,491,826,536,448
  5. Step 5: Solve for x
    x = 69,223,144,491,826,536,448/6,798,664,981.60
  6. Step 6: Final answer
    x = 10,181,873,158.80

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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.