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Finding the Fourth Proportional to 51,008,603.10, 76,512,904.65 and 51,008,603.10

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Solution

The fourth proportional to 51,008,603.10, 76,512,904.65 and 51,008,603.10 is: 76,512,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,008,603.10 : 76,512,904.65 = 51,008,603.10 : x
  2. Step 2: Convert to fraction form
    51,008,603.10/76,512,904.65 = 51,008,603.10/x
  3. Step 3: Cross multiply
    51,008,603.10x = 76,512,904.65 × 51,008,603.10
  4. Step 4: Simplify right side
    51,008,603.10x = 3,902,816,385,319,995
  5. Step 5: Solve for x
    x = 3,902,816,385,319,995/51,008,603.10
  6. Step 6: Final answer
    x = 76,512,904.65

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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.