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Finding the Fourth Proportional to 660,049,752,485.80, 990,074,628,728.70 and 660,049,752,485.80

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Solution

The fourth proportional to 660,049,752,485.80, 990,074,628,728.70 and 660,049,752,485.80 is: 990,074,628,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,049,752,485.80 : 990,074,628,728.70 = 660,049,752,485.80 : x
  2. Step 2: Convert to fraction form
    660,049,752,485.80/990,074,628,728.70 = 660,049,752,485.80/x
  3. Step 3: Cross multiply
    660,049,752,485.80x = 990,074,628,728.70 × 660,049,752,485.80
  4. Step 4: Simplify right side
    660,049,752,485.80x = 653,498,513,634,848,772,456,448
  5. Step 5: Solve for x
    x = 653,498,513,634,848,772,456,448/660,049,752,485.80
  6. Step 6: Final answer
    x = 990,074,628,728.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.