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Finding the Fourth Proportional to 296,802,004.20, 415,805,921.40 and 296,802,004.20

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Solution

The fourth proportional to 296,802,004.20, 415,805,921.40 and 296,802,004.20 is: 415,805,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,802,004.20 : 415,805,921.40 = 296,802,004.20 : x
  2. Step 2: Convert to fraction form
    296,802,004.20/415,805,921.40 = 296,802,004.20/x
  3. Step 3: Cross multiply
    296,802,004.20x = 415,805,921.40 × 296,802,004.20
  4. Step 4: Simplify right side
    296,802,004.20x = 123,412,030,829,747,664
  5. Step 5: Solve for x
    x = 123,412,030,829,747,664/296,802,004.20
  6. Step 6: Final answer
    x = 415,805,921.40

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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.