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Finding the Fourth Proportional to 65,190,096,927.20, 97,785,145,390.80 and 65,190,096,927.20

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Solution

The fourth proportional to 65,190,096,927.20, 97,785,145,390.80 and 65,190,096,927.20 is: 97,785,145,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,190,096,927.20 : 97,785,145,390.80 = 65,190,096,927.20 : x
  2. Step 2: Convert to fraction form
    65,190,096,927.20/97,785,145,390.80 = 65,190,096,927.20/x
  3. Step 3: Cross multiply
    65,190,096,927.20x = 97,785,145,390.80 × 65,190,096,927.20
  4. Step 4: Simplify right side
    65,190,096,927.20x = 6,374,623,106,066,595,971,072
  5. Step 5: Solve for x
    x = 6,374,623,106,066,595,971,072/65,190,096,927.20
  6. Step 6: Final answer
    x = 97,785,145,390.80

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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.