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Finding the Fourth Proportional to 78,288,804,918.30, 117,433,207,377.45 and 78,288,804,918.30

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Solution

The fourth proportional to 78,288,804,918.30, 117,433,207,377.45 and 78,288,804,918.30 is: 117,433,207,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,288,804,918.30 : 117,433,207,377.45 = 78,288,804,918.30 : x
  2. Step 2: Convert to fraction form
    78,288,804,918.30/117,433,207,377.45 = 78,288,804,918.30/x
  3. Step 3: Cross multiply
    78,288,804,918.30x = 117,433,207,377.45 × 78,288,804,918.30
  4. Step 4: Simplify right side
    78,288,804,918.30x = 9,193,705,463,303,451,443,200
  5. Step 5: Solve for x
    x = 9,193,705,463,303,451,443,200/78,288,804,918.30
  6. Step 6: Final answer
    x = 117,433,207,377.45

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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.