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Finding the Fourth Proportional to 1,138,007,680.10, 1,708,286,978.55 and 880,365,083.30

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Solution

The fourth proportional to 1,138,007,680.10, 1,708,286,978.55 and 880,365,083.30 is: 1,321,534,322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,007,680.10 : 1,708,286,978.55 = 880,365,083.30 : x
  2. Step 2: Convert to fraction form
    1,138,007,680.10/1,708,286,978.55 = 880,365,083.30/x
  3. Step 3: Cross multiply
    1,138,007,680.10x = 1,708,286,978.55 × 880,365,083.30
  4. Step 4: Simplify right side
    1,138,007,680.10x = 1,503,916,208,171,475,968
  5. Step 5: Solve for x
    x = 1,503,916,208,171,475,968/1,138,007,680.10
  6. Step 6: Final answer
    x = 1,321,534,322.19

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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.