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Finding the Fourth Proportional to 442,597,663.65, 620,543,721.75 and 442,597,663.65

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Solution

The fourth proportional to 442,597,663.65, 620,543,721.75 and 442,597,663.65 is: 620,543,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,597,663.65 : 620,543,721.75 = 442,597,663.65 : x
  2. Step 2: Convert to fraction form
    442,597,663.65/620,543,721.75 = 442,597,663.65/x
  3. Step 3: Cross multiply
    442,597,663.65x = 620,543,721.75 × 442,597,663.65
  4. Step 4: Simplify right side
    442,597,663.65x = 274,651,201,439,225,664
  5. Step 5: Solve for x
    x = 274,651,201,439,225,664/442,597,663.65
  6. Step 6: Final answer
    x = 620,543,721.75

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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.