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Finding the Fourth Proportional to 687,991,515.20, 965,909,099.20 and 687,991,515.20

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Solution

The fourth proportional to 687,991,515.20, 965,909,099.20 and 687,991,515.20 is: 965,909,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,991,515.20 : 965,909,099.20 = 687,991,515.20 : x
  2. Step 2: Convert to fraction form
    687,991,515.20/965,909,099.20 = 687,991,515.20/x
  3. Step 3: Cross multiply
    687,991,515.20x = 965,909,099.20 × 687,991,515.20
  4. Step 4: Simplify right side
    687,991,515.20x = 664,537,264,704,075,136
  5. Step 5: Solve for x
    x = 664,537,264,704,075,136/687,991,515.20
  6. Step 6: Final answer
    x = 965,909,099.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.