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Finding the Fourth Proportional to 689,618,643.40, 967,884,747.80 and 689,618,643.40

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Solution

The fourth proportional to 689,618,643.40, 967,884,747.80 and 689,618,643.40 is: 967,884,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,618,643.40 : 967,884,747.80 = 689,618,643.40 : x
  2. Step 2: Convert to fraction form
    689,618,643.40/967,884,747.80 = 689,618,643.40/x
  3. Step 3: Cross multiply
    689,618,643.40x = 967,884,747.80 × 689,618,643.40
  4. Step 4: Simplify right side
    689,618,643.40x = 667,471,366,745,387,136
  5. Step 5: Solve for x
    x = 667,471,366,745,387,136/689,618,643.40
  6. Step 6: Final answer
    x = 967,884,747.80

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.