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Finding the Fourth Proportional to 886,463,999.60, 1,329,695,999.40 and 877,394,073.20

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Solution

The fourth proportional to 886,463,999.60, 1,329,695,999.40 and 877,394,073.20 is: 1,316,091,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,463,999.60 : 1,329,695,999.40 = 877,394,073.20 : x
  2. Step 2: Convert to fraction form
    886,463,999.60/1,329,695,999.40 = 877,394,073.20/x
  3. Step 3: Cross multiply
    886,463,999.60x = 1,329,695,999.40 × 877,394,073.20
  4. Step 4: Simplify right side
    886,463,999.60x = 1,166,667,389,031,310,848
  5. Step 5: Solve for x
    x = 1,166,667,389,031,310,848/886,463,999.60
  6. Step 6: Final answer
    x = 1,316,091,109.80

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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.