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Finding the Fourth Proportional to 429,236,496.30, 643,854,744.45 and 429,236,496.30

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Solution

The fourth proportional to 429,236,496.30, 643,854,744.45 and 429,236,496.30 is: 643,854,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,236,496.30 : 643,854,744.45 = 429,236,496.30 : x
  2. Step 2: Convert to fraction form
    429,236,496.30/643,854,744.45 = 429,236,496.30/x
  3. Step 3: Cross multiply
    429,236,496.30x = 643,854,744.45 × 429,236,496.30
  4. Step 4: Simplify right side
    429,236,496.30x = 276,365,954,633,849,888
  5. Step 5: Solve for x
    x = 276,365,954,633,849,888/429,236,496.30
  6. Step 6: Final answer
    x = 643,854,744.45

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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.