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Finding the Fourth Proportional to 1,290,343,612.80, 1,935,515,419.20 and 1,290,343,612.80

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Solution

The fourth proportional to 1,290,343,612.80, 1,935,515,419.20 and 1,290,343,612.80 is: 1,935,515,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,343,612.80 : 1,935,515,419.20 = 1,290,343,612.80 : x
  2. Step 2: Convert to fraction form
    1,290,343,612.80/1,935,515,419.20 = 1,290,343,612.80/x
  3. Step 3: Cross multiply
    1,290,343,612.80x = 1,935,515,419.20 × 1,290,343,612.80
  4. Step 4: Simplify right side
    1,290,343,612.80x = 2,497,479,958,640,634,368
  5. Step 5: Solve for x
    x = 2,497,479,958,640,634,368/1,290,343,612.80
  6. Step 6: Final answer
    x = 1,935,515,419.20

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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.