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Finding the Fourth Proportional to 6,341,390,225,999.60, 9,512,085,338,999.60 and 6,341,390,225,999.60

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Solution

The fourth proportional to 6,341,390,225,999.60, 9,512,085,338,999.60 and 6,341,390,225,999.60 is: 9,512,085,338,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341,390,225,999.60 : 9,512,085,338,999.60 = 6,341,390,225,999.60 : x
  2. Step 2: Convert to fraction form
    6,341,390,225,999.60/9,512,085,338,999.60 = 6,341,390,225,999.60/x
  3. Step 3: Cross multiply
    6,341,390,225,999.60x = 9,512,085,338,999.60 × 6,341,390,225,999.60
  4. Step 4: Simplify right side
    6,341,390,225,999.60x = 60,319,844,997,606,149,873,205,248
  5. Step 5: Solve for x
    x = 60,319,844,997,606,149,873,205,248/6,341,390,225,999.60
  6. Step 6: Final answer
    x = 9,512,085,338,999.60

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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.