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Finding the Fourth Proportional to 420,438,045.15, 630,657,067.73 and 420,438,045.15

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Solution

The fourth proportional to 420,438,045.15, 630,657,067.73 and 420,438,045.15 is: 630,657,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,438,045.15 : 630,657,067.73 = 420,438,045.15 : x
  2. Step 2: Convert to fraction form
    420,438,045.15/630,657,067.73 = 420,438,045.15/x
  3. Step 3: Cross multiply
    420,438,045.15x = 630,657,067.73 × 420,438,045.15
  4. Step 4: Simplify right side
    420,438,045.15x = 265,152,224,714,330,144
  5. Step 5: Solve for x
    x = 265,152,224,714,330,144/420,438,045.15
  6. Step 6: Final answer
    x = 630,657,067.73

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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.