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Finding the Fourth Proportional to 776,043,669.90, 1,164,065,504.85 and 776,043,669.90

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Solution

The fourth proportional to 776,043,669.90, 1,164,065,504.85 and 776,043,669.90 is: 1,164,065,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,043,669.90 : 1,164,065,504.85 = 776,043,669.90 : x
  2. Step 2: Convert to fraction form
    776,043,669.90/1,164,065,504.85 = 776,043,669.90/x
  3. Step 3: Cross multiply
    776,043,669.90x = 1,164,065,504.85 × 776,043,669.90
  4. Step 4: Simplify right side
    776,043,669.90x = 903,365,666,387,790,208
  5. Step 5: Solve for x
    x = 903,365,666,387,790,208/776,043,669.90
  6. Step 6: Final answer
    x = 1,164,065,504.85

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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.