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Finding the Fourth Proportional to 6,341,390,225,999.50, 9,512,085,338,999.50 and 6,341,390,225,999.50

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Solution

The fourth proportional to 6,341,390,225,999.50, 9,512,085,338,999.50 and 6,341,390,225,999.50 is: 9,512,085,338,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341,390,225,999.50 : 9,512,085,338,999.50 = 6,341,390,225,999.50 : x
  2. Step 2: Convert to fraction form
    6,341,390,225,999.50/9,512,085,338,999.50 = 6,341,390,225,999.50/x
  3. Step 3: Cross multiply
    6,341,390,225,999.50x = 9,512,085,338,999.50 × 6,341,390,225,999.50
  4. Step 4: Simplify right side
    6,341,390,225,999.50x = 60,319,844,997,604,569,325,240,320
  5. Step 5: Solve for x
    x = 60,319,844,997,604,569,325,240,320/6,341,390,225,999.50
  6. Step 6: Final answer
    x = 9,512,085,338,999.50

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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.