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Finding the Fourth Proportional to 6,198,741,766,587.60, 9,298,112,649,881.60 and 6,198,741,766,587.60

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Solution

The fourth proportional to 6,198,741,766,587.60, 9,298,112,649,881.60 and 6,198,741,766,587.60 is: 9,298,112,649,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198,741,766,587.60 : 9,298,112,649,881.60 = 6,198,741,766,587.60 : x
  2. Step 2: Convert to fraction form
    6,198,741,766,587.60/9,298,112,649,881.60 = 6,198,741,766,587.60/x
  3. Step 3: Cross multiply
    6,198,741,766,587.60x = 9,298,112,649,881.60 × 6,198,741,766,587.60
  4. Step 4: Simplify right side
    6,198,741,766,587.60x = 57,636,599,233,257,575,326,679,040
  5. Step 5: Solve for x
    x = 57,636,599,233,257,575,326,679,040/6,198,741,766,587.60
  6. Step 6: Final answer
    x = 9,298,112,649,881.60

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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.