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Finding the Fourth Proportional to 240,465,159,997.80, 360,697,739,996.70 and 240,465,159,997.80

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Solution

The fourth proportional to 240,465,159,997.80, 360,697,739,996.70 and 240,465,159,997.80 is: 360,697,739,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,465,159,997.80 : 360,697,739,996.70 = 240,465,159,997.80 : x
  2. Step 2: Convert to fraction form
    240,465,159,997.80/360,697,739,996.70 = 240,465,159,997.80/x
  3. Step 3: Cross multiply
    240,465,159,997.80x = 360,697,739,996.70 × 240,465,159,997.80
  4. Step 4: Simplify right side
    240,465,159,997.80x = 86,735,239,759,151,321,055,232
  5. Step 5: Solve for x
    x = 86,735,239,759,151,321,055,232/240,465,159,997.80
  6. Step 6: Final answer
    x = 360,697,739,996.70

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1.5x scale

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.