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Finding the Fourth Proportional to 660,049,752,487.80, 990,074,628,731.70 and 660,049,752,487.80

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Solution

The fourth proportional to 660,049,752,487.80, 990,074,628,731.70 and 660,049,752,487.80 is: 990,074,628,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,049,752,487.80 : 990,074,628,731.70 = 660,049,752,487.80 : x
  2. Step 2: Convert to fraction form
    660,049,752,487.80/990,074,628,731.70 = 660,049,752,487.80/x
  3. Step 3: Cross multiply
    660,049,752,487.80x = 990,074,628,731.70 × 660,049,752,487.80
  4. Step 4: Simplify right side
    660,049,752,487.80x = 653,498,513,638,809,134,956,544
  5. Step 5: Solve for x
    x = 653,498,513,638,809,134,956,544/660,049,752,487.80
  6. Step 6: Final answer
    x = 990,074,628,731.70

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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.