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Finding the Fourth Proportional to 212,686,049.60, 319,029,074.40 and 212,686,049.60

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Solution

The fourth proportional to 212,686,049.60, 319,029,074.40 and 212,686,049.60 is: 319,029,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,686,049.60 : 319,029,074.40 = 212,686,049.60 : x
  2. Step 2: Convert to fraction form
    212,686,049.60/319,029,074.40 = 212,686,049.60/x
  3. Step 3: Cross multiply
    212,686,049.60x = 319,029,074.40 × 212,686,049.60
  4. Step 4: Simplify right side
    212,686,049.60x = 67,853,033,541,680,480
  5. Step 5: Solve for x
    x = 67,853,033,541,680,480/212,686,049.60
  6. Step 6: Final answer
    x = 319,029,074.40

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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.