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Finding the Fourth Proportional to 680,690,891.40, 1,021,036,337.10 and 680,690,891.40

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Solution

The fourth proportional to 680,690,891.40, 1,021,036,337.10 and 680,690,891.40 is: 1,021,036,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,690,891.40 : 1,021,036,337.10 = 680,690,891.40 : x
  2. Step 2: Convert to fraction form
    680,690,891.40/1,021,036,337.10 = 680,690,891.40/x
  3. Step 3: Cross multiply
    680,690,891.40x = 1,021,036,337.10 × 680,690,891.40
  4. Step 4: Simplify right side
    680,690,891.40x = 695,010,134,452,389,888
  5. Step 5: Solve for x
    x = 695,010,134,452,389,888/680,690,891.40
  6. Step 6: Final answer
    x = 1,021,036,337.10

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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.