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Finding the Fourth Proportional to 6,549,006,167,997.60, 9,823,509,251,996.40 and 6,549,006,167,997.60

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Solution

The fourth proportional to 6,549,006,167,997.60, 9,823,509,251,996.40 and 6,549,006,167,997.60 is: 9,823,509,251,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549,006,167,997.60 : 9,823,509,251,996.40 = 6,549,006,167,997.60 : x
  2. Step 2: Convert to fraction form
    6,549,006,167,997.60/9,823,509,251,996.40 = 6,549,006,167,997.60/x
  3. Step 3: Cross multiply
    6,549,006,167,997.60x = 9,823,509,251,996.40 × 6,549,006,167,997.60
  4. Step 4: Simplify right side
    6,549,006,167,997.60x = 64,334,222,682,705,908,639,727,616
  5. Step 5: Solve for x
    x = 64,334,222,682,705,908,639,727,616/6,549,006,167,997.60
  6. Step 6: Final answer
    x = 9,823,509,251,996.40

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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.