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Finding the Fourth Proportional to 1,908,452,961.90, 2,858,648,364.45 and 1,908,452,961.90

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Solution

The fourth proportional to 1,908,452,961.90, 2,858,648,364.45 and 1,908,452,961.90 is: 2,858,648,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908,452,961.90 : 2,858,648,364.45 = 1,908,452,961.90 : x
  2. Step 2: Convert to fraction form
    1,908,452,961.90/2,858,648,364.45 = 1,908,452,961.90/x
  3. Step 3: Cross multiply
    1,908,452,961.90x = 2,858,648,364.45 × 1,908,452,961.90
  4. Step 4: Simplify right side
    1,908,452,961.90x = 5,455,595,938,165,192,704
  5. Step 5: Solve for x
    x = 5,455,595,938,165,192,704/1,908,452,961.90
  6. Step 6: Final answer
    x = 2,858,648,364.45

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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.