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Finding the Fourth Proportional to 2,877,122,553.20, 4,315,683,829.80 and 2,877,122,553.20

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Solution

The fourth proportional to 2,877,122,553.20, 4,315,683,829.80 and 2,877,122,553.20 is: 4,315,683,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,122,553.20 : 4,315,683,829.80 = 2,877,122,553.20 : x
  2. Step 2: Convert to fraction form
    2,877,122,553.20/4,315,683,829.80 = 2,877,122,553.20/x
  3. Step 3: Cross multiply
    2,877,122,553.20x = 4,315,683,829.80 × 2,877,122,553.20
  4. Step 4: Simplify right side
    2,877,122,553.20x = 12,416,751,279,198,130,176
  5. Step 5: Solve for x
    x = 12,416,751,279,198,130,176/2,877,122,553.20
  6. Step 6: Final answer
    x = 4,315,683,829.80

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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.