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Finding the Fourth Proportional to 1,063,757,869.98, 1,596,258,592.92 and 768,361,704.54

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Solution

The fourth proportional to 1,063,757,869.98, 1,596,258,592.92 and 768,361,704.54 is: 1,152,991,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063,757,869.98 : 1,596,258,592.92 = 768,361,704.54 : x
  2. Step 2: Convert to fraction form
    1,063,757,869.98/1,596,258,592.92 = 768,361,704.54/x
  3. Step 3: Cross multiply
    1,063,757,869.98x = 1,596,258,592.92 × 768,361,704.54
  4. Step 4: Simplify right side
    1,063,757,869.98x = 1,226,503,973,342,633,216
  5. Step 5: Solve for x
    x = 1,226,503,973,342,633,216/1,063,757,869.98
  6. Step 6: Final answer
    x = 1,152,991,679.74

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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.