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Finding the Fourth Proportional to 515,996,847.40, 724,436,319.80 and 515,996,847.40

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Solution

The fourth proportional to 515,996,847.40, 724,436,319.80 and 515,996,847.40 is: 724,436,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,996,847.40 : 724,436,319.80 = 515,996,847.40 : x
  2. Step 2: Convert to fraction form
    515,996,847.40/724,436,319.80 = 515,996,847.40/x
  3. Step 3: Cross multiply
    515,996,847.40x = 724,436,319.80 × 515,996,847.40
  4. Step 4: Simplify right side
    515,996,847.40x = 373,806,857,158,858,176
  5. Step 5: Solve for x
    x = 373,806,857,158,858,176/515,996,847.40
  6. Step 6: Final answer
    x = 724,436,319.80

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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.