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Finding the Fourth Proportional to 6,331,567,104,024.50, 9,497,350,656,036.50 and 6,331,567,104,024.50

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Solution

The fourth proportional to 6,331,567,104,024.50, 9,497,350,656,036.50 and 6,331,567,104,024.50 is: 9,497,350,656,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331,567,104,024.50 : 9,497,350,656,036.50 = 6,331,567,104,024.50 : x
  2. Step 2: Convert to fraction form
    6,331,567,104,024.50/9,497,350,656,036.50 = 6,331,567,104,024.50/x
  3. Step 3: Cross multiply
    6,331,567,104,024.50x = 9,497,350,656,036.50 × 6,331,567,104,024.50
  4. Step 4: Simplify right side
    6,331,567,104,024.50x = 60,133,112,989,146,208,408,698,880
  5. Step 5: Solve for x
    x = 60,133,112,989,146,208,408,698,880/6,331,567,104,024.50
  6. Step 6: Final answer
    x = 9,497,350,656,036.50

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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.