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Finding the Fourth Proportional to 780,194,878.90, 1,170,292,318.35 and 780,194,878.90

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Solution

The fourth proportional to 780,194,878.90, 1,170,292,318.35 and 780,194,878.90 is: 1,170,292,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,194,878.90 : 1,170,292,318.35 = 780,194,878.90 : x
  2. Step 2: Convert to fraction form
    780,194,878.90/1,170,292,318.35 = 780,194,878.90/x
  3. Step 3: Cross multiply
    780,194,878.90x = 1,170,292,318.35 × 780,194,878.90
  4. Step 4: Simplify right side
    780,194,878.90x = 913,056,073,592,678,400
  5. Step 5: Solve for x
    x = 913,056,073,592,678,400/780,194,878.90
  6. Step 6: Final answer
    x = 1,170,292,318.35

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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.