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Finding the Fourth Proportional to 1,435,395,984, 1,980,847,255.68 and 775,346,268.48

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Solution

The fourth proportional to 1,435,395,984, 1,980,847,255.68 and 775,346,268.48 is: 1,069,978,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,395,984 : 1,980,847,255.68 = 775,346,268.48 : x
  2. Step 2: Convert to fraction form
    1,435,395,984/1,980,847,255.68 = 775,346,268.48/x
  3. Step 3: Cross multiply
    1,435,395,984x = 1,980,847,255.68 × 775,346,268.48
  4. Step 4: Simplify right side
    1,435,395,984x = 1,535,842,528,120,336,640
  5. Step 5: Solve for x
    x = 1,535,842,528,120,336,640/1,435,395,984
  6. Step 6: Final answer
    x = 1,069,978,281.42

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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.