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Finding the Fourth Proportional to 6,621,086,367,080.90, 9,931,629,550,621.10 and 6,621,086,367,080.90

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Solution

The fourth proportional to 6,621,086,367,080.90, 9,931,629,550,621.10 and 6,621,086,367,080.90 is: 9,931,629,550,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,621,086,367,080.90 : 9,931,629,550,621.10 = 6,621,086,367,080.90 : x
  2. Step 2: Convert to fraction form
    6,621,086,367,080.90/9,931,629,550,621.10 = 6,621,086,367,080.90/x
  3. Step 3: Cross multiply
    6,621,086,367,080.90x = 9,931,629,550,621.10 × 6,621,086,367,080.90
  4. Step 4: Simplify right side
    6,621,086,367,080.90x = 65,758,177,020,515,169,878,409,216
  5. Step 5: Solve for x
    x = 65,758,177,020,515,169,878,409,216/6,621,086,367,080.90
  6. Step 6: Final answer
    x = 9,931,629,550,621.10

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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.