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Finding the Fourth Proportional to 517,389,406.45, 776,084,109.68 and 517,389,406.45

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Solution

The fourth proportional to 517,389,406.45, 776,084,109.68 and 517,389,406.45 is: 776,084,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,389,406.45 : 776,084,109.68 = 517,389,406.45 : x
  2. Step 2: Convert to fraction form
    517,389,406.45/776,084,109.68 = 517,389,406.45/x
  3. Step 3: Cross multiply
    517,389,406.45x = 776,084,109.68 × 517,389,406.45
  4. Step 4: Simplify right side
    517,389,406.45x = 401,537,696,860,024,896
  5. Step 5: Solve for x
    x = 401,537,696,860,024,896/517,389,406.45
  6. Step 6: Final answer
    x = 776,084,109.68

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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.