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Finding the Fourth Proportional to 517,388,940.70, 776,083,411.05 and 517,388,940.70

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Solution

The fourth proportional to 517,388,940.70, 776,083,411.05 and 517,388,940.70 is: 776,083,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,388,940.70 : 776,083,411.05 = 517,388,940.70 : x
  2. Step 2: Convert to fraction form
    517,388,940.70/776,083,411.05 = 517,388,940.70/x
  3. Step 3: Cross multiply
    517,388,940.70x = 776,083,411.05 × 517,388,940.70
  4. Step 4: Simplify right side
    517,388,940.70x = 401,536,973,938,002,112
  5. Step 5: Solve for x
    x = 401,536,973,938,002,112/517,388,940.70
  6. Step 6: Final answer
    x = 776,083,411.05

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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.