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Finding the Fourth Proportional to 420,091,008.40, 630,136,512.60 and 420,091,008.40

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Solution

The fourth proportional to 420,091,008.40, 630,136,512.60 and 420,091,008.40 is: 630,136,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,091,008.40 : 630,136,512.60 = 420,091,008.40 : x
  2. Step 2: Convert to fraction form
    420,091,008.40/630,136,512.60 = 420,091,008.40/x
  3. Step 3: Cross multiply
    420,091,008.40x = 630,136,512.60 × 420,091,008.40
  4. Step 4: Simplify right side
    420,091,008.40x = 264,714,683,007,793,312
  5. Step 5: Solve for x
    x = 264,714,683,007,793,312/420,091,008.40
  6. Step 6: Final answer
    x = 630,136,512.60

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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.