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Finding the Fourth Proportional to 782,615,999.40, 1,173,923,999.10 and 782,615,999.40

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Solution

The fourth proportional to 782,615,999.40, 1,173,923,999.10 and 782,615,999.40 is: 1,173,923,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,615,999.40 : 1,173,923,999.10 = 782,615,999.40 : x
  2. Step 2: Convert to fraction form
    782,615,999.40/1,173,923,999.10 = 782,615,999.40/x
  3. Step 3: Cross multiply
    782,615,999.40x = 1,173,923,999.10 × 782,615,999.40
  4. Step 4: Simplify right side
    782,615,999.40x = 918,731,703,775,291,136
  5. Step 5: Solve for x
    x = 918,731,703,775,291,136/782,615,999.40
  6. Step 6: Final answer
    x = 1,173,923,999.10

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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.