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Finding the Fourth Proportional to 2,578,521,779.70, 3,867,782,669.55 and 2,578,521,779.70

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Solution

The fourth proportional to 2,578,521,779.70, 3,867,782,669.55 and 2,578,521,779.70 is: 3,867,782,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,521,779.70 : 3,867,782,669.55 = 2,578,521,779.70 : x
  2. Step 2: Convert to fraction form
    2,578,521,779.70/3,867,782,669.55 = 2,578,521,779.70/x
  3. Step 3: Cross multiply
    2,578,521,779.70x = 3,867,782,669.55 × 2,578,521,779.70
  4. Step 4: Simplify right side
    2,578,521,779.70x = 9,973,161,852,580,882,432
  5. Step 5: Solve for x
    x = 9,973,161,852,580,882,432/2,578,521,779.70
  6. Step 6: Final answer
    x = 3,867,782,669.55

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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.