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Finding the Fourth Proportional to 65,190,287,029.05, 97,785,430,543.58 and 65,190,287,029.05

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Solution

The fourth proportional to 65,190,287,029.05, 97,785,430,543.58 and 65,190,287,029.05 is: 97,785,430,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,190,287,029.05 : 97,785,430,543.58 = 65,190,287,029.05 : x
  2. Step 2: Convert to fraction form
    65,190,287,029.05/97,785,430,543.58 = 65,190,287,029.05/x
  3. Step 3: Cross multiply
    65,190,287,029.05x = 97,785,430,543.58 × 65,190,287,029.05
  4. Step 4: Simplify right side
    65,190,287,029.05x = 6,374,660,284,394,886,922,240
  5. Step 5: Solve for x
    x = 6,374,660,284,394,886,922,240/65,190,287,029.05
  6. Step 6: Final answer
    x = 97,785,430,543.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.