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Finding the Fourth Proportional to 199,712,652.80, 280,403,929.60 and 199,712,652.80

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Solution

The fourth proportional to 199,712,652.80, 280,403,929.60 and 199,712,652.80 is: 280,403,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,712,652.80 : 280,403,929.60 = 199,712,652.80 : x
  2. Step 2: Convert to fraction form
    199,712,652.80/280,403,929.60 = 199,712,652.80/x
  3. Step 3: Cross multiply
    199,712,652.80x = 280,403,929.60 × 199,712,652.80
  4. Step 4: Simplify right side
    199,712,652.80x = 56,000,212,635,960,448
  5. Step 5: Solve for x
    x = 56,000,212,635,960,448/199,712,652.80
  6. Step 6: Final answer
    x = 280,403,929.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.