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Finding the Fourth Proportional to 758,251,211.20, 1,137,376,816.80 and 758,251,211.20

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Solution

The fourth proportional to 758,251,211.20, 1,137,376,816.80 and 758,251,211.20 is: 1,137,376,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,251,211.20 : 1,137,376,816.80 = 758,251,211.20 : x
  2. Step 2: Convert to fraction form
    758,251,211.20/1,137,376,816.80 = 758,251,211.20/x
  3. Step 3: Cross multiply
    758,251,211.20x = 1,137,376,816.80 × 758,251,211.20
  4. Step 4: Simplify right side
    758,251,211.20x = 862,417,348,929,400,576
  5. Step 5: Solve for x
    x = 862,417,348,929,400,576/758,251,211.20
  6. Step 6: Final answer
    x = 1,137,376,816.80

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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.