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Finding the Fourth Proportional to 420,768,008.40, 631,152,012.60 and 420,768,008.40

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Solution

The fourth proportional to 420,768,008.40, 631,152,012.60 and 420,768,008.40 is: 631,152,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,768,008.40 : 631,152,012.60 = 420,768,008.40 : x
  2. Step 2: Convert to fraction form
    420,768,008.40/631,152,012.60 = 420,768,008.40/x
  3. Step 3: Cross multiply
    420,768,008.40x = 631,152,012.60 × 420,768,008.40
  4. Step 4: Simplify right side
    420,768,008.40x = 265,568,575,339,353,696
  5. Step 5: Solve for x
    x = 265,568,575,339,353,696/420,768,008.40
  6. Step 6: Final answer
    x = 631,152,012.60

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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.