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Finding the Fourth Proportional to 869,945,888.90, 1,197,493,244.52 and 758,242,633.16

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Solution

The fourth proportional to 869,945,888.90, 1,197,493,244.52 and 758,242,633.16 is: 1,043,732,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,945,888.90 : 1,197,493,244.52 = 758,242,633.16 : x
  2. Step 2: Convert to fraction form
    869,945,888.90/1,197,493,244.52 = 758,242,633.16/x
  3. Step 3: Cross multiply
    869,945,888.90x = 1,197,493,244.52 × 758,242,633.16
  4. Step 4: Simplify right side
    869,945,888.90x = 907,990,430,916,344,832
  5. Step 5: Solve for x
    x = 907,990,430,916,344,832/869,945,888.90
  6. Step 6: Final answer
    x = 1,043,732,078.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.